Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation x^2+4*x+4=0
-
Equation (x^2-4)^2+(x^2-3x-10)^2=0
-
Equation -x/3+x+7=3
-
Equation -20*(x-13)=-220
- Express {x} in terms of y where:
- -14*x+4*y=-16
- -13*x-10*y=5
- 9*x-1*y=17
- -12*x-8*y=13
-
Identical expressions
- (one /(x*(x- one)*(x- four)*(x- three)*(x- two)))*(((five *(x- five))*(x- six))*(x- seven)+(x- eight)*((five *(x- five))*(x- six)+(x- seven)*(- thirty + five *x+ five *(x- five))))+ five *(x- eight)*(x- seven)*(x- six)*(x- five)*(-(x*(x- one))*(x- two)*(x- three)-(x- four)*((x*(x- one))*(x- two)+(x- three)*(x*(x- one)+(- one + two *x)*(x- two))))/(x^ two *(x- one)^ two *(x- four)^ two *(x- three)^ two *(x- two)^ two)= zero
- (1 divide by (x multiply by (x minus 1) multiply by (x minus 4) multiply by (x minus 3) multiply by (x minus 2))) multiply by (((5 multiply by (x minus 5)) multiply by (x minus 6)) multiply by (x minus 7) plus (x minus 8) multiply by ((5 multiply by (x minus 5)) multiply by (x minus 6) plus (x minus 7) multiply by ( minus 30 plus 5 multiply by x plus 5 multiply by (x minus 5)))) plus 5 multiply by (x minus 8) multiply by (x minus 7) multiply by (x minus 6) multiply by (x minus 5) multiply by ( minus (x multiply by (x minus 1)) multiply by (x minus 2) multiply by (x minus 3) minus (x minus 4) multiply by ((x multiply by (x minus 1)) multiply by (x minus 2) plus (x minus 3) multiply by (x multiply by (x minus 1) plus ( minus 1 plus 2 multiply by x) multiply by (x minus 2)))) divide by (x squared multiply by (x minus 1) squared multiply by (x minus 4) squared multiply by (x minus 3) squared multiply by (x minus 2) squared ) equally 0
- (one divide by (x multiply by (x minus one) multiply by (x minus four) multiply by (x minus three) multiply by (x minus two))) multiply by (((five multiply by (x minus five)) multiply by (x minus six)) multiply by (x minus seven) plus (x minus eight) multiply by ((five multiply by (x minus five)) multiply by (x minus six) plus (x minus seven) multiply by ( minus thirty plus five multiply by x plus five multiply by (x minus five)))) plus five multiply by (x minus eight) multiply by (x minus seven) multiply by (x minus six) multiply by (x minus five) multiply by ( minus (x multiply by (x minus one)) multiply by (x minus two) multiply by (x minus three) minus (x minus four) multiply by ((x multiply by (x minus one)) multiply by (x minus two) plus (x minus three) multiply by (x multiply by (x minus one) plus ( minus one plus two multiply by x) multiply by (x minus two)))) divide by (x to the power of two multiply by (x minus one) to the power of two multiply by (x minus four) to the power of two multiply by (x minus three) to the power of two multiply by (x minus two) to the power of two) equally zero
- (1/(x*(x-1)*(x-4)*(x-3)*(x-2)))*(((5*(x-5))*(x-6))*(x-7)+(x-8)*((5*(x-5))*(x-6)+(x-7)*(-30+5*x+5*(x-5))))+5*(x-8)*(x-7)*(x-6)*(x-5)*(-(x*(x-1))*(x-2)*(x-3)-(x-4)*((x*(x-1))*(x-2)+(x-3)*(x*(x-1)+(-1+2*x)*(x-2))))/(x2*(x-1)2*(x-4)2*(x-3)2*(x-2)2)=0
- 1/x*x-1*x-4*x-3*x-2*5*x-5*x-6*x-7+x-8*5*x-5*x-6+x-7*-30+5*x+5*x-5+5*x-8*x-7*x-6*x-5*-x*x-1*x-2*x-3-x-4*x*x-1*x-2+x-3*x*x-1+-1+2*x*x-2/x2*x-12*x-42*x-32*x-22=0
- (1/(x*(x-1)*(x-4)*(x-3)*(x-2)))*(((5*(x-5))*(x-6))*(x-7)+(x-8)*((5*(x-5))*(x-6)+(x-7)*(-30+5*x+5*(x-5))))+5*(x-8)*(x-7)*(x-6)*(x-5)*(-(x*(x-1))*(x-2)*(x-3)-(x-4)*((x*(x-1))*(x-2)+(x-3)*(x*(x-1)+(-1+2*x)*(x-2))))/(x²*(x-1)²*(x-4)²*(x-3)²*(x-2)²)=0
- (1/(x*(x-1)*(x-4)*(x-3)*(x-2)))*(((5*(x-5))*(x-6))*(x-7)+(x-8)*((5*(x-5))*(x-6)+(x-7)*(-30+5*x+5*(x-5))))+5*(x-8)*(x-7)*(x-6)*(x-5)*(-(x*(x-1))*(x-2)*(x-3)-(x-4)*((x*(x-1))*(x-2)+(x-3)*(x*(x-1)+(-1+2*x)*(x-2))))/(x to the power of 2*(x-1) to the power of 2*(x-4) to the power of 2*(x-3) to the power of 2*(x-2) to the power of 2)=0
- (1/(x(x-1)(x-4)(x-3)(x-2)))(((5(x-5))(x-6))(x-7)+(x-8)((5(x-5))(x-6)+(x-7)(-30+5x+5(x-5))))+5(x-8)(x-7)(x-6)(x-5)(-(x(x-1))(x-2)(x-3)-(x-4)((x(x-1))(x-2)+(x-3)(x(x-1)+(-1+2x)(x-2))))/(x^2(x-1)^2(x-4)^2(x-3)^2(x-2)^2)=0
- (1/(x(x-1)(x-4)(x-3)(x-2)))(((5(x-5))(x-6))(x-7)+(x-8)((5(x-5))(x-6)+(x-7)(-30+5x+5(x-5))))+5(x-8)(x-7)(x-6)(x-5)(-(x(x-1))(x-2)(x-3)-(x-4)((x(x-1))(x-2)+(x-3)(x(x-1)+(-1+2x)(x-2))))/(x2(x-1)2(x-4)2(x-3)2(x-2)2)=0
- 1/xx-1x-4x-3x-25x-5x-6x-7+x-85x-5x-6+x-7-30+5x+5x-5+5x-8x-7x-6x-5-xx-1x-2x-3-x-4xx-1x-2+x-3xx-1+-1+2xx-2/x2x-12x-42x-32x-22=0
- 1/xx-1x-4x-3x-25x-5x-6x-7+x-85x-5x-6+x-7-30+5x+5x-5+5x-8x-7x-6x-5-xx-1x-2x-3-x-4xx-1x-2+x-3xx-1+-1+2xx-2/x^2x-1^2x-4^2x-3^2x-2^2=0
- (1/(x*(x-1)*(x-4)*(x-3)*(x-2)))*(((5*(x-5))*(x-6))*(x-7)+(x-8)*((5*(x-5))*(x-6)+(x-7)*(-30+5*x+5*(x-5))))+5*(x-8)*(x-7)*(x-6)*(x-5)*(-(x*(x-1))*(x-2)*(x-3)-(x-4)*((x*(x-1))*(x-2)+(x-3)*(x*(x-1)+(-1+2*x)*(x-2))))/(x^2*(x-1)^2*(x-4)^2*(x-3)^2*(x-2)^2)=O
- (1 divide by (x*(x-1)*(x-4)*(x-3)*(x-2)))*(((5*(x-5))*(x-6))*(x-7)+(x-8)*((5*(x-5))*(x-6)+(x-7)*(-30+5*x+5*(x-5))))+5*(x-8)*(x-7)*(x-6)*(x-5)*(-(x*(x-1))*(x-2)*(x-3)-(x-4)*((x*(x-1))*(x-2)+(x-3)*(x*(x-1)+(-1+2*x)*(x-2)))) divide by (x^2*(x-1)^2*(x-4)^2*(x-3)^2*(x-2)^2)=0
-
Similar expressions
- (1/(x*(x-1)*(x-4)*(x-3)*(x-2)))*(((5*(x-5))*(x-6))*(x-7)+(x-8)*((5*(x-5))*(x-6)+(x-7)*(-30+5*x+5*(x-5))))+5*(x-8)*(x-7)*(x-6)*(x-5)*(-(x*(x-1))*(x-2)*(x-3)-(x+4)*((x*(x-1))*(x-2)+(x-3)*(x*(x-1)+(-1+2*x)*(x-2))))/(x^2*(x-1)^2*(x-4)^2*(x-3)^2*(x-2)^2)=0
- (1/(x*(x-1)*(x-4)*(x-3)*(x-2)))*(((5*(x-5))*(x-6))*(x-7)+(x-8)*((5*(x-5))*(x-6)+(x-7)*(-30+5*x+5*(x-5))))+5*(x-8)*(x-7)*(x-6)*(x-5)*(-(x*(x-1))*(x-2)*(x-3)-(x-4)*((x*(x-1))*(x-2)+(x-3)*(x*(x-1)+(-1+2*x)*(x-2))))/(x^2*(x-1)^2*(x-4)^2*(x+3)^2*(x-2)^2)=0
- (1/(x*(x-1)*(x-4)*(x-3)*(x-2)))*(((5*(x-5))*(x-6))*(x-7)-(x-8)*((5*(x-5))*(x-6)+(x-7)*(-30+5*x+5*(x-5))))+5*(x-8)*(x-7)*(x-6)*(x-5)*(-(x*(x-1))*(x-2)*(x-3)-(x-4)*((x*(x-1))*(x-2)+(x-3)*(x*(x-1)+(-1+2*x)*(x-2))))/(x^2*(x-1)^2*(x-4)^2*(x-3)^2*(x-2)^2)=0
- (1/(x*(x-1)*(x-4)*(x-3)*(x-2)))*(((5*(x-5))*(x-6))*(x-7)+(x-8)*((5*(x-5))*(x-6)+(x-7)*(-30+5*x+5*(x-5))))+5*(x-8)*(x-7)*(x-6)*(x-5)*(-(x*(x-1))*(x-2)*(x-3)-(x-4)*((x*(x-1))*(x-2)+(x-3)*(x*(x-1)+(-1+2*x)*(x-2))))/(x^2*(x-1)^2*(x+4)^2*(x-3)^2*(x-2)^2)=0
- (1/(x*(x-1)*(x-4)*(x-3)*(x-2)))*(((5*(x-5))*(x-6))*(x-7)+(x-8)*((5*(x-5))*(x-6)+(x-7)*(-30+5*x+5*(x+5))))+5*(x-8)*(x-7)*(x-6)*(x-5)*(-(x*(x-1))*(x-2)*(x-3)-(x-4)*((x*(x-1))*(x-2)+(x-3)*(x*(x-1)+(-1+2*x)*(x-2))))/(x^2*(x-1)^2*(x-4)^2*(x-3)^2*(x-2)^2)=0
- (1/(x*(x-1)*(x+4)*(x-3)*(x-2)))*(((5*(x-5))*(x-6))*(x-7)+(x-8)*((5*(x-5))*(x-6)+(x-7)*(-30+5*x+5*(x-5))))+5*(x-8)*(x-7)*(x-6)*(x-5)*(-(x*(x-1))*(x-2)*(x-3)-(x-4)*((x*(x-1))*(x-2)+(x-3)*(x*(x-1)+(-1+2*x)*(x-2))))/(x^2*(x-1)^2*(x-4)^2*(x-3)^2*(x-2)^2)=0
- (1/(x*(x-1)*(x-4)*(x-3)*(x-2)))*(((5*(x-5))*(x-6))*(x-7)+(x-8)*((5*(x-5))*(x-6)+(x-7)*(-30+5*x+5*(x-5))))+5*(x-8)*(x-7)*(x-6)*(x-5)*(-(x*(x-1))*(x-2)*(x-3)-(x-4)*((x*(x-1))*(x+2)+(x-3)*(x*(x-1)+(-1+2*x)*(x-2))))/(x^2*(x-1)^2*(x-4)^2*(x-3)^2*(x-2)^2)=0
- (1/(x*(x-1)*(x-4)*(x-3)*(x-2)))*(((5*(x-5))*(x-6))*(x+7)+(x-8)*((5*(x-5))*(x-6)+(x-7)*(-30+5*x+5*(x-5))))+5*(x-8)*(x-7)*(x-6)*(x-5)*(-(x*(x-1))*(x-2)*(x-3)-(x-4)*((x*(x-1))*(x-2)+(x-3)*(x*(x-1)+(-1+2*x)*(x-2))))/(x^2*(x-1)^2*(x-4)^2*(x-3)^2*(x-2)^2)=0
- (1/(x*(x-1)*(x-4)*(x-3)*(x-2)))*(((5*(x-5))*(x-6))*(x-7)+(x-8)*((5*(x-5))*(x-6)+(x-7)*(-30+5*x+5*(x-5))))+5*(x-8)*(x-7)*(x-6)*(x-5)*(-(x*(x-1))*(x-2)*(x-3)-(x-4)*((x*(x-1))*(x-2)+(x-3)*(x*(x-1)-(-1+2*x)*(x-2))))/(x^2*(x-1)^2*(x-4)^2*(x-3)^2*(x-2)^2)=0
- (1/(x*(x-1)*(x-4)*(x-3)*(x-2)))*(((5*(x-5))*(x-6))*(x-7)+(x-8)*((5*(x-5))*(x-6)+(x-7)*(-30+5*x+5*(x-5))))+5*(x-8)*(x-7)*(x-6)*(x-5)*(-(x*(x-1))*(x-2)*(x-3)-(x-4)*((x*(x-1))*(x-2)+(x-3)*(x*(x-1)+(-1+2*x)*(x-2))))/(x^2*(x-1)^2*(x-4)^2*(x-3)^2*(x+2)^2)=0
- (1/(x*(x-1)*(x-4)*(x-3)*(x-2)))*(((5*(x-5))*(x-6))*(x-7)+(x-8)*((5*(x-5))*(x-6)+(x-7)*(30+5*x+5*(x-5))))+5*(x-8)*(x-7)*(x-6)*(x-5)*(-(x*(x-1))*(x-2)*(x-3)-(x-4)*((x*(x-1))*(x-2)+(x-3)*(x*(x-1)+(-1+2*x)*(x-2))))/(x^2*(x-1)^2*(x-4)^2*(x-3)^2*(x-2)^2)=0
- (1/(x*(x-1)*(x-4)*(x-3)*(x-2)))*(((5*(x-5))*(x-6))*(x-7)+(x-8)*((5*(x-5))*(x-6)+(x-7)*(-30+5*x+5*(x-5))))+5*(x-8)*(x-7)*(x-6)*(x-5)*(-(x*(x-1))*(x+2)*(x-3)-(x-4)*((x*(x-1))*(x-2)+(x-3)*(x*(x-1)+(-1+2*x)*(x-2))))/(x^2*(x-1)^2*(x-4)^2*(x-3)^2*(x-2)^2)=0
- (1/(x*(x-1)*(x-4)*(x-3)*(x-2)))*(((5*(x-5))*(x-6))*(x-7)+(x-8)*((5*(x-5))*(x+6)+(x-7)*(-30+5*x+5*(x-5))))+5*(x-8)*(x-7)*(x-6)*(x-5)*(-(x*(x-1))*(x-2)*(x-3)-(x-4)*((x*(x-1))*(x-2)+(x-3)*(x*(x-1)+(-1+2*x)*(x-2))))/(x^2*(x-1)^2*(x-4)^2*(x-3)^2*(x-2)^2)=0
- (1/(x*(x-1)*(x-4)*(x-3)*(x-2)))*(((5*(x-5))*(x-6))*(x-7)+(x-8)*((5*(x-5))*(x-6)+(x-7)*(-30+5*x+5*(x-5))))+5*(x-8)*(x-7)*(x-6)*(x-5)*((x*(x-1))*(x-2)*(x-3)-(x-4)*((x*(x-1))*(x-2)+(x-3)*(x*(x-1)+(-1+2*x)*(x-2))))/(x^2*(x-1)^2*(x-4)^2*(x-3)^2*(x-2)^2)=0
- (1/(x*(x-1)*(x-4)*(x-3)*(x-2)))*(((5*(x-5))*(x-6))*(x-7)+(x-8)*((5*(x-5))*(x-6)+(x-7)*(-30+5*x+5*(x-5))))+5*(x+8)*(x-7)*(x-6)*(x-5)*(-(x*(x-1))*(x-2)*(x-3)-(x-4)*((x*(x-1))*(x-2)+(x-3)*(x*(x-1)+(-1+2*x)*(x-2))))/(x^2*(x-1)^2*(x-4)^2*(x-3)^2*(x-2)^2)=0
- (1/(x*(x-1)*(x-4)*(x-3)*(x-2)))*(((5*(x-5))*(x-6))*(x-7)+(x-8)*((5*(x+5))*(x-6)+(x-7)*(-30+5*x+5*(x-5))))+5*(x-8)*(x-7)*(x-6)*(x-5)*(-(x*(x-1))*(x-2)*(x-3)-(x-4)*((x*(x-1))*(x-2)+(x-3)*(x*(x-1)+(-1+2*x)*(x-2))))/(x^2*(x-1)^2*(x-4)^2*(x-3)^2*(x-2)^2)=0
- (1/(x*(x-1)*(x-4)*(x-3)*(x-2)))*(((5*(x-5))*(x-6))*(x-7)+(x+8)*((5*(x-5))*(x-6)+(x-7)*(-30+5*x+5*(x-5))))+5*(x-8)*(x-7)*(x-6)*(x-5)*(-(x*(x-1))*(x-2)*(x-3)-(x-4)*((x*(x-1))*(x-2)+(x-3)*(x*(x-1)+(-1+2*x)*(x-2))))/(x^2*(x-1)^2*(x-4)^2*(x-3)^2*(x-2)^2)=0
- (1/(x*(x-1)*(x-4)*(x-3)*(x-2)))*(((5*(x-5))*(x-6))*(x-7)+(x-8)*((5*(x-5))*(x-6)+(x-7)*(-30+5*x+5*(x-5))))+5*(x-8)*(x-7)*(x-6)*(x-5)*(-(x*(x-1))*(x-2)*(x-3)-(x-4)*((x*(x-1))*(x-2)+(x+3)*(x*(x-1)+(-1+2*x)*(x-2))))/(x^2*(x-1)^2*(x-4)^2*(x-3)^2*(x-2)^2)=0
- (1/(x*(x-1)*(x-4)*(x-3)*(x-2)))*(((5*(x-5))*(x-6))*(x-7)+(x-8)*((5*(x-5))*(x-6)+(x-7)*(-30+5*x+5*(x-5))))+5*(x-8)*(x-7)*(x-6)*(x-5)*(-(x*(x-1))*(x-2)*(x+3)-(x-4)*((x*(x-1))*(x-2)+(x-3)*(x*(x-1)+(-1+2*x)*(x-2))))/(x^2*(x-1)^2*(x-4)^2*(x-3)^2*(x-2)^2)=0
- (1/(x*(x-1)*(x-4)*(x+3)*(x-2)))*(((5*(x-5))*(x-6))*(x-7)+(x-8)*((5*(x-5))*(x-6)+(x-7)*(-30+5*x+5*(x-5))))+5*(x-8)*(x-7)*(x-6)*(x-5)*(-(x*(x-1))*(x-2)*(x-3)-(x-4)*((x*(x-1))*(x-2)+(x-3)*(x*(x-1)+(-1+2*x)*(x-2))))/(x^2*(x-1)^2*(x-4)^2*(x-3)^2*(x-2)^2)=0
- (1/(x*(x-1)*(x-4)*(x-3)*(x+2)))*(((5*(x-5))*(x-6))*(x-7)+(x-8)*((5*(x-5))*(x-6)+(x-7)*(-30+5*x+5*(x-5))))+5*(x-8)*(x-7)*(x-6)*(x-5)*(-(x*(x-1))*(x-2)*(x-3)-(x-4)*((x*(x-1))*(x-2)+(x-3)*(x*(x-1)+(-1+2*x)*(x-2))))/(x^2*(x-1)^2*(x-4)^2*(x-3)^2*(x-2)^2)=0
- (1/(x*(x-1)*(x-4)*(x-3)*(x-2)))*(((5*(x-5))*(x-6))*(x-7)+(x-8)*((5*(x-5))*(x-6)+(x-7)*(-30+5*x+5*(x-5))))+5*(x-8)*(x-7)*(x-6)*(x-5)*(-(x*(x+1))*(x-2)*(x-3)-(x-4)*((x*(x-1))*(x-2)+(x-3)*(x*(x-1)+(-1+2*x)*(x-2))))/(x^2*(x-1)^2*(x-4)^2*(x-3)^2*(x-2)^2)=0
- (1/(x*(x-1)*(x-4)*(x-3)*(x-2)))*(((5*(x-5))*(x-6))*(x-7)+(x-8)*((5*(x-5))*(x-6)+(x-7)*(-30+5*x+5*(x-5))))+5*(x-8)*(x-7)*(x-6)*(x-5)*(-(x*(x-1))*(x-2)*(x-3)-(x-4)*((x*(x+1))*(x-2)+(x-3)*(x*(x-1)+(-1+2*x)*(x-2))))/(x^2*(x-1)^2*(x-4)^2*(x-3)^2*(x-2)^2)=0
- (1/(x*(x-1)*(x-4)*(x-3)*(x-2)))*(((5*(x-5))*(x-6))*(x-7)+(x-8)*((5*(x-5))*(x-6)-(x-7)*(-30+5*x+5*(x-5))))+5*(x-8)*(x-7)*(x-6)*(x-5)*(-(x*(x-1))*(x-2)*(x-3)-(x-4)*((x*(x-1))*(x-2)+(x-3)*(x*(x-1)+(-1+2*x)*(x-2))))/(x^2*(x-1)^2*(x-4)^2*(x-3)^2*(x-2)^2)=0
- (1/(x*(x-1)*(x-4)*(x-3)*(x-2)))*(((5*(x-5))*(x-6))*(x-7)+(x-8)*((5*(x-5))*(x-6)+(x-7)*(-30+5*x+5*(x-5))))+5*(x-8)*(x-7)*(x+6)*(x-5)*(-(x*(x-1))*(x-2)*(x-3)-(x-4)*((x*(x-1))*(x-2)+(x-3)*(x*(x-1)+(-1+2*x)*(x-2))))/(x^2*(x-1)^2*(x-4)^2*(x-3)^2*(x-2)^2)=0
- (1/(x*(x-1)*(x-4)*(x-3)*(x-2)))*(((5*(x-5))*(x-6))*(x-7)+(x-8)*((5*(x-5))*(x-6)+(x-7)*(-30+5*x+5*(x-5))))-5*(x-8)*(x-7)*(x-6)*(x-5)*(-(x*(x-1))*(x-2)*(x-3)-(x-4)*((x*(x-1))*(x-2)+(x-3)*(x*(x-1)+(-1+2*x)*(x-2))))/(x^2*(x-1)^2*(x-4)^2*(x-3)^2*(x-2)^2)=0
- (1/(x*(x-1)*(x-4)*(x-3)*(x-2)))*(((5*(x-5))*(x-6))*(x-7)+(x-8)*((5*(x-5))*(x-6)+(x-7)*(-30+5*x+5*(x-5))))+5*(x-8)*(x-7)*(x-6)*(x-5)*(-(x*(x-1))*(x-2)*(x-3)-(x-4)*((x*(x-1))*(x-2)+(x-3)*(x*(x-1)+(-1-2*x)*(x-2))))/(x^2*(x-1)^2*(x-4)^2*(x-3)^2*(x-2)^2)=0
- (1/(x*(x-1)*(x-4)*(x-3)*(x-2)))*(((5*(x-5))*(x-6))*(x-7)+(x-8)*((5*(x-5))*(x-6)+(x-7)*(-30+5*x+5*(x-5))))+5*(x-8)*(x-7)*(x-6)*(x-5)*(-(x*(x-1))*(x-2)*(x-3)-(x-4)*((x*(x-1))*(x-2)+(x-3)*(x*(x-1)+(-1+2*x)*(x+2))))/(x^2*(x-1)^2*(x-4)^2*(x-3)^2*(x-2)^2)=0
- (1/(x*(x-1)*(x-4)*(x-3)*(x-2)))*(((5*(x-5))*(x-6))*(x-7)+(x-8)*((5*(x-5))*(x-6)+(x+7)*(-30+5*x+5*(x-5))))+5*(x-8)*(x-7)*(x-6)*(x-5)*(-(x*(x-1))*(x-2)*(x-3)-(x-4)*((x*(x-1))*(x-2)+(x-3)*(x*(x-1)+(-1+2*x)*(x-2))))/(x^2*(x-1)^2*(x-4)^2*(x-3)^2*(x-2)^2)=0
- (1/(x*(x-1)*(x-4)*(x-3)*(x-2)))*(((5*(x-5))*(x-6))*(x-7)+(x-8)*((5*(x-5))*(x-6)+(x-7)*(-30+5*x+5*(x-5))))+5*(x-8)*(x-7)*(x-6)*(x-5)*(-(x*(x-1))*(x-2)*(x-3)-(x-4)*((x*(x-1))*(x-2)+(x-3)*(x*(x-1)+(-1+2*x)*(x-2))))/(x^2*(x+1)^2*(x-4)^2*(x-3)^2*(x-2)^2)=0
- (1/(x*(x-1)*(x-4)*(x-3)*(x-2)))*(((5*(x-5))*(x-6))*(x-7)+(x-8)*((5*(x-5))*(x-6)+(x-7)*(-30+5*x-5*(x-5))))+5*(x-8)*(x-7)*(x-6)*(x-5)*(-(x*(x-1))*(x-2)*(x-3)-(x-4)*((x*(x-1))*(x-2)+(x-3)*(x*(x-1)+(-1+2*x)*(x-2))))/(x^2*(x-1)^2*(x-4)^2*(x-3)^2*(x-2)^2)=0
- (1/(x*(x-1)*(x-4)*(x-3)*(x-2)))*(((5*(x-5))*(x-6))*(x-7)+(x-8)*((5*(x-5))*(x-6)+(x-7)*(-30+5*x+5*(x-5))))+5*(x-8)*(x-7)*(x-6)*(x-5)*(-(x*(x-1))*(x-2)*(x-3)-(x-4)*((x*(x-1))*(x-2)-(x-3)*(x*(x-1)+(-1+2*x)*(x-2))))/(x^2*(x-1)^2*(x-4)^2*(x-3)^2*(x-2)^2)=0
- (1/(x*(x-1)*(x-4)*(x-3)*(x-2)))*(((5*(x-5))*(x-6))*(x-7)+(x-8)*((5*(x-5))*(x-6)+(x-7)*(-30+5*x+5*(x-5))))+5*(x-8)*(x-7)*(x-6)*(x-5)*(-(x*(x-1))*(x-2)*(x-3)-(x-4)*((x*(x-1))*(x-2)+(x-3)*(x*(x-1)+(1+2*x)*(x-2))))/(x^2*(x-1)^2*(x-4)^2*(x-3)^2*(x-2)^2)=0
- (1/(x*(x-1)*(x-4)*(x-3)*(x-2)))*(((5*(x-5))*(x+6))*(x-7)+(x-8)*((5*(x-5))*(x-6)+(x-7)*(-30+5*x+5*(x-5))))+5*(x-8)*(x-7)*(x-6)*(x-5)*(-(x*(x-1))*(x-2)*(x-3)-(x-4)*((x*(x-1))*(x-2)+(x-3)*(x*(x-1)+(-1+2*x)*(x-2))))/(x^2*(x-1)^2*(x-4)^2*(x-3)^2*(x-2)^2)=0
- (1/(x*(x-1)*(x-4)*(x-3)*(x-2)))*(((5*(x-5))*(x-6))*(x-7)+(x-8)*((5*(x-5))*(x-6)+(x-7)*(-30+5*x+5*(x-5))))+5*(x-8)*(x+7)*(x-6)*(x-5)*(-(x*(x-1))*(x-2)*(x-3)-(x-4)*((x*(x-1))*(x-2)+(x-3)*(x*(x-1)+(-1+2*x)*(x-2))))/(x^2*(x-1)^2*(x-4)^2*(x-3)^2*(x-2)^2)=0
- (1/(x*(x-1)*(x-4)*(x-3)*(x-2)))*(((5*(x-5))*(x-6))*(x-7)+(x-8)*((5*(x-5))*(x-6)+(x-7)*(-30+5*x+5*(x-5))))+5*(x-8)*(x-7)*(x-6)*(x-5)*(-(x*(x-1))*(x-2)*(x-3)+(x-4)*((x*(x-1))*(x-2)+(x-3)*(x*(x-1)+(-1+2*x)*(x-2))))/(x^2*(x-1)^2*(x-4)^2*(x-3)^2*(x-2)^2)=0
- (1/(x*(x-1)*(x-4)*(x-3)*(x-2)))*(((5*(x+5))*(x-6))*(x-7)+(x-8)*((5*(x-5))*(x-6)+(x-7)*(-30+5*x+5*(x-5))))+5*(x-8)*(x-7)*(x-6)*(x-5)*(-(x*(x-1))*(x-2)*(x-3)-(x-4)*((x*(x-1))*(x-2)+(x-3)*(x*(x-1)+(-1+2*x)*(x-2))))/(x^2*(x-1)^2*(x-4)^2*(x-3)^2*(x-2)^2)=0
- (1/(x*(x+1)*(x-4)*(x-3)*(x-2)))*(((5*(x-5))*(x-6))*(x-7)+(x-8)*((5*(x-5))*(x-6)+(x-7)*(-30+5*x+5*(x-5))))+5*(x-8)*(x-7)*(x-6)*(x-5)*(-(x*(x-1))*(x-2)*(x-3)-(x-4)*((x*(x-1))*(x-2)+(x-3)*(x*(x-1)+(-1+2*x)*(x-2))))/(x^2*(x-1)^2*(x-4)^2*(x-3)^2*(x-2)^2)=0
- (1/(x*(x-1)*(x-4)*(x-3)*(x-2)))*(((5*(x-5))*(x-6))*(x-7)+(x-8)*((5*(x-5))*(x-6)+(x-7)*(-30+5*x+5*(x-5))))+5*(x-8)*(x-7)*(x-6)*(x+5)*(-(x*(x-1))*(x-2)*(x-3)-(x-4)*((x*(x-1))*(x-2)+(x-3)*(x*(x-1)+(-1+2*x)*(x-2))))/(x^2*(x-1)^2*(x-4)^2*(x-3)^2*(x-2)^2)=0
- (1/(x*(x-1)*(x-4)*(x-3)*(x-2)))*(((5*(x-5))*(x-6))*(x-7)+(x-8)*((5*(x-5))*(x-6)+(x-7)*(-30+5*x+5*(x-5))))+5*(x-8)*(x-7)*(x-6)*(x-5)*(-(x*(x-1))*(x-2)*(x-3)-(x-4)*((x*(x-1))*(x-2)+(x-3)*(x*(x+1)+(-1+2*x)*(x-2))))/(x^2*(x-1)^2*(x-4)^2*(x-3)^2*(x-2)^2)=0
- (1/(x*(x-1)*(x-4)*(x-3)*(x-2)))*(((5*(x-5))*(x-6))*(x-7)+(x-8)*((5*(x-5))*(x-6)+(x-7)*(-30-5*x+5*(x-5))))+5*(x-8)*(x-7)*(x-6)*(x-5)*(-(x*(x-1))*(x-2)*(x-3)-(x-4)*((x*(x-1))*(x-2)+(x-3)*(x*(x-1)+(-1+2*x)*(x-2))))/(x^2*(x-1)^2*(x-4)^2*(x-3)^2*(x-2)^2)=0
(1/(x*(x-1)*(x-4)*(x-3)*(x-2)))*(((5*(x-5))*(x-6))*(x-7)+(x-8)*((5*(x-5))*(x-6)+(x-7)*(-30+5*x+5*(x-5))))+5*(x-8)*(x-7)*(x-6)*(x-5)*(-(x*(x-1))*(x-2)*(x-3)-(x-4)*((x*(x-1))*(x-2)+(x-3)*(x*(x-1)+(-1+2*x)*(x-2))))/(x^2*(x-1)^2*(x-4)^2*(x-3)^2*(x-2)^2)=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
5*(x - 5)*(x - 6)*(x - 7) + (x - 8)*(5*(x - 5)*(x - 6) + (x - 7)*(-30 + 5*x + 5*(x - 5))) 5*(x - 8)*(x - 7)*(x - 6)*(x - 5)*(-x*(x - 1)*(x - 2)*(x - 3) - (x - 4)*(x*(x - 1)*(x - 2) + (x - 3)*(x*(x - 1) + (-1 + 2*x)*(x - 2))))
----------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------- = 0
x*(x - 1)*(x - 4)*(x - 3)*(x - 2) 2 2 2 2 2
x *(x - 1) *(x - 4) *(x - 3) *(x - 2)
$$\frac{5 \left(x - 8\right) \left(x - 7\right) \left(x - 6\right) \left(x - 5\right) \left(- x \left(x - 1\right) \left(x - 2\right) \left(x - 3\right) - \left(x - 4\right) \left(x \left(x - 1\right) \left(x - 2\right) + \left(x - 3\right) \left(x \left(x - 1\right) + \left(x - 2\right) \left(2 x - 1\right)\right)\right)\right)}{x^{2} \left(x - 1\right)^{2} \left(x - 4\right)^{2} \left(x - 3\right)^{2} \left(x - 2\right)^{2}} + \frac{\left(x - 6\right) 5 \left(x - 5\right) \left(x - 7\right) + \left(x - 8\right) \left(\left(x - 7\right) \left(5 \left(x - 5\right) + \left(5 x - 30\right)\right) + \left(x - 6\right) 5 \left(x - 5\right)\right)}{x \left(x - 1\right) \left(x - 4\right) \left(x - 3\right) \left(x - 2\right)} = 0$$
Rapid solution
[src]
x1 = 0.424215306812481
$$x_{1} = 0.424215306812481$$
x2 = 1.54960493421144
$$x_{2} = 1.54960493421144$$
x3 = 2.65571480936676
$$x_{3} = 2.65571480936676$$
x4 = 3.7674647071726
$$x_{4} = 3.7674647071726$$
x5 = 5.23638479548503
$$x_{5} = 5.23638479548503$$
x6 = 6.36436320285009
$$x_{6} = 6.36436320285009$$
x7 = 7.51068339504532
$$x_{7} = 7.51068339504532$$
x8 = 24.4915688490563
$$x_{8} = 24.4915688490563$$
x8 = 24.4915688490563
Sum and product of roots
[src]
sum
0.424215306812481 + 1.54960493421144 + 2.65571480936676 + 3.7674647071726 + 5.23638479548503 + 6.36436320285009 + 7.51068339504532 + 24.4915688490563
$$24.4915688490563 + \left(7.51068339504532 + \left(6.36436320285009 + \left(5.23638479548503 + \left(3.7674647071726 + \left(\left(0.424215306812481 + 1.54960493421144\right) + 2.65571480936676\right)\right)\right)\right)\right)$$
=
52.0000000000000
$$52.0$$
product
0.424215306812481*1.54960493421144*2.65571480936676*3.7674647071726*5.23638479548503*6.36436320285009*7.51068339504532*24.4915688490563
$$24.4915688490563 \cdot 7.51068339504532 \cdot 6.36436320285009 \cdot 5.23638479548503 \cdot 3.7674647071726 \cdot 2.65571480936676 \cdot 0.424215306812481 \cdot 1.54960493421144$$
=
40320.0000000000
$$40320.0$$
40320.0000000000
Numerical answer
[src]
x1 = 0.424215306812481
x2 = 1.54960493421144
x3 = 2.65571480936676
x4 = 3.7674647071726
x5 = 5.23638479548503
x6 = 6.36436320285009
x7 = 7.51068339504532
x8 = 24.4915688490563
x8 = 24.4915688490563