Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation 14/(x-3)=-7/9
-
Equation x^4+2*x^2-8=0
-
Equation 9x−9(x+1)=−2x
-
Equation x^4+4=0
- Express {x} in terms of y where:
- -17*x+1*y=-11
- 1*x+4*y=20
- -18*x-2*y=9
- -20*x-14*y=5
-
Identical expressions
- 8sqrt(x^ four - ten *x^ three + thirteen)-8sqrt((x^ two + three)^ two - twelve)= zero
- 8 square root of (x to the power of 4 minus 10 multiply by x cubed plus 13) minus 8 square root of ((x squared plus 3) squared minus 12) equally 0
- 8 square root of (x to the power of four minus ten multiply by x to the power of three plus thirteen) minus 8 square root of ((x to the power of two plus three) to the power of two minus twelve) equally zero
- 8√(x^4-10*x^3+13)-8√((x^2+3)^2-12)=0
- 8sqrt(x4-10*x3+13)-8sqrt((x2+3)2-12)=0
- 8sqrtx4-10*x3+13-8sqrtx2+32-12=0
- 8sqrt(x⁴-10*x³+13)-8sqrt((x²+3)²-12)=0
- 8sqrt(x to the power of 4-10*x to the power of 3+13)-8sqrt((x to the power of 2+3) to the power of 2-12)=0
- 8sqrt(x^4-10x^3+13)-8sqrt((x^2+3)^2-12)=0
- 8sqrt(x4-10x3+13)-8sqrt((x2+3)2-12)=0
- 8sqrtx4-10x3+13-8sqrtx2+32-12=0
- 8sqrtx^4-10x^3+13-8sqrtx^2+3^2-12=0
- 8sqrt(x^4-10*x^3+13)-8sqrt((x^2+3)^2-12)=O
-
Similar expressions
- 8sqrt(x^4-10*x^3+13)-8sqrt((x^2-3)^2-12)=0
- 8sqrt(x^4-10*x^3-13)-8sqrt((x^2+3)^2-12)=0
- 8sqrt(x^4+10*x^3+13)-8sqrt((x^2+3)^2-12)=0
- 8sqrt(x^4-10*x^3+13)-8sqrt((x^2+3)^2+12)=0
- 8sqrt(x^4-10*x^3+13)+8sqrt((x^2+3)^2-12)=0
8sqrt(x^4-10*x^3+13)-8sqrt((x^2+3)^2-12)=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
________________
_________________ / 2
/ 4 3 / / 2 \
8*\/ x - 10*x + 13 - 8*\/ \x + 3/ - 12 = 0
$$- 8 \sqrt{\left(x^{2} + 3\right)^{2} - 12} + 8 \sqrt{x^{4} - 10 x^{3} + 13} = 0$$
Rapid solution
[src]
x_1 = 1
$$x_{1} = 1$$
___
4 2*I*\/ 6
x_2 = - - - ---------
5 5
$$x_{2} = - \frac{4}{5} - \frac{2 \sqrt{6} i}{5}$$
___
4 2*I*\/ 6
x_3 = - - + ---------
5 5
$$x_{3} = - \frac{4}{5} + \frac{2 \sqrt{6} i}{5}$$
Sum and product of roots
[src]
sum
___ ___
4 2*I*\/ 6 4 2*I*\/ 6
1 + - - - --------- + - - + ---------
5 5 5 5
$$\left(1\right) + \left(- \frac{4}{5} - \frac{2 \sqrt{6} i}{5}\right) + \left(- \frac{4}{5} + \frac{2 \sqrt{6} i}{5}\right)$$
=
-3/5
$$- \frac{3}{5}$$
product
___ ___
4 2*I*\/ 6 4 2*I*\/ 6
1 * - - - --------- * - - + ---------
5 5 5 5
$$\left(1\right) * \left(- \frac{4}{5} - \frac{2 \sqrt{6} i}{5}\right) * \left(- \frac{4}{5} + \frac{2 \sqrt{6} i}{5}\right)$$
=
8/5
$$\frac{8}{5}$$
Numerical answer
[src]
x1 = -0.8 - 0.979795897113271*i
x2 = 1.0
x3 = -0.8 + 0.979795897113271*i
x4 = -0.8 + 0.979795897113271*i
x5 = -0.799999999999999 + 0.979795897113272*i
x6 = -0.8 - 0.979795897113271*i
x7 = 1.0 - 3.16802580589486e-18*i
x7 = 1.0 - 3.16802580589486e-18*i
The graph