Mister Exam
Other calculators
-
How to use it?
- Equation:
- Equation x^4-35*x^2-36=0
-
Equation sin(x)=pi/2
- Equation x^2-49=0
-
Equation 3*sin(x)=0
- Express {x} in terms of y where:
- 18*x+19*y=7
- 1*x+6*y=6
- -16*x-12*y=12
- -17*x-12*y=-9
- Sum of series:
-
71
-
Identical expressions
- seventy-one =(x^ two /((zero . thirty-six *(fifty-seven / one hundred + forty-three /((one thousand *(eleven / ten -x^ two / zero . thirty-six))))))- one)^ two
- 71 equally (x squared divide by ((0.0036 multiply by (57 divide by 100 plus 43 divide by ((1000 multiply by (11 divide by 10 minus x squared divide by 0.0036)))))) minus 1) squared
- seventy minus one equally (x to the power of two divide by ((zero . thirty minus six multiply by (fifty minus seven divide by one hundred plus forty minus three divide by ((one thousand multiply by (eleven divide by ten minus x to the power of two divide by zero . thirty minus six)))))) minus one) to the power of two
- 71=(x2/((0.0036*(57/100+43/((1000*(11/10-x2/0.0036))))))-1)2
- 71=x2/0.0036*57/100+43/1000*11/10-x2/0.0036-12
- 71=(x²/((0.0036*(57/100+43/((1000*(11/10-x²/0.0036))))))-1)²
- 71=(x to the power of 2/((0.0036*(57/100+43/((1000*(11/10-x to the power of 2/0.0036))))))-1) to the power of 2
- 71=(x^2/((0.0036(57/100+43/((1000(11/10-x^2/0.0036))))))-1)^2
- 71=(x2/((0.0036(57/100+43/((1000(11/10-x2/0.0036))))))-1)2
- 71=x2/0.003657/100+43/100011/10-x2/0.0036-12
- 71=x^2/0.003657/100+43/100011/10-x^2/0.0036-1^2
- 71=(x^2 divide by ((0.0036*(57 divide by 100+43 divide by ((1000*(11 divide by 10-x^2 divide by 0.0036))))))-1)^2
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Similar expressions
- 71=(x^2/((0.0036*(57/100-43/((1000*(11/10-x^2/0.0036))))))-1)^2
- 47*10^(-12)*p^2+5000*10^(-9)*p+1=0
- 71=(x^2/((0.0036*(57/100+43/((1000*(11/10+x^2/0.0036))))))-1)^2
- 71=(x^2/((0.0036*(57/100+43/((1000*(11/10-x^2/0.0036))))))+1)^2
71=(x^2/((0.0036*(57/100+43/((1000*(11/10-x^2/0.0036))))))-1)^2 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
2
/ 2 \
| x |
71 = |--------------------------------- - 1|
| / 57 43 \ |
|0.0036*|--- + ------------------| |
| |100 / 2 \| |
| | |11 x || |
| | 1000*|-- - ------|| |
\ \ \10 0.0036// /
$$71 = \left(\frac{x^{2}}{0.0036 \left(\frac{57}{100} + \frac{43}{1000 \left(- \frac{x^{2}}{0.0036} + \frac{11}{10}\right)}\right)} - 1\right)^{2}$$
Rapid solution
[src]
x1 = -0.137815196652727
$$x_{1} = -0.137815196652727$$
x2 = -0.0656462558424172
$$x_{2} = -0.0656462558424172$$
x3 = -0.0646002618655585
$$x_{3} = -0.0646002618655585$$
x4 = 0.0646002618655585
$$x_{4} = 0.0646002618655585$$
x5 = 0.0656462558424172
$$x_{5} = 0.0656462558424172$$
x6 = 0.137815196652727
$$x_{6} = 0.137815196652727$$
x7 = -0.124304678784254*I
$$x_{7} = - 0.124304678784254 i$$
x8 = 0.124304678784254*I
$$x_{8} = 0.124304678784254 i$$
x8 = 0.124304678784254*i
Sum and product of roots
[src]
sum
-0.137815196652727 - 0.0656462558424172 - 0.0646002618655585 + 0.0646002618655585 + 0.0656462558424172 + 0.137815196652727 - 0.124304678784254*I + 0.124304678784254*I
$$\left(\left(\left(\left(\left(\left(-0.137815196652727 - 0.0656462558424172\right) - 0.0646002618655585\right) + 0.0646002618655585\right) + 0.0656462558424172\right) + 0.137815196652727\right) - 0.124304678784254 i\right) + 0.124304678784254 i$$
=
0
$$0$$
product
-0.137815196652727*-0.0656462558424172*-0.0646002618655585*0.0646002618655585*0.0656462558424172*0.137815196652727*-0.124304678784254*I*0.124304678784254*I
$$0.124304678784254 i - 0.124304678784254 i 0.137815196652727 \cdot 0.0656462558424172 \cdot 0.0646002618655585 \left(-0.0646002618655585\right) \left(- \left(-0.0656462558424172\right) 0.137815196652727\right)$$
=
-5.27785735680000e-9
$$-5.2778573568 \cdot 10^{-9}$$
-5.27785735680000e-9
Numerical answer
[src]
x1 = -0.137815196652727
x2 = -0.0656462558424172
x3 = -0.0646002618655585
x4 = 0.0646002618655585
x5 = 0.0656462558424172
x6 = 0.137815196652727
x7 = -0.124304678784254*i
x8 = 0.124304678784254*i
x8 = 0.124304678784254*i