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On line Solution of Monovariate Equation：
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 20 = 4.32(1+j)+4.5159*(1+j)*(1+j)+5.04*(1+j)*(1+j)*(1+j)+5.652*(1+j)*(1+j)*(1+j)*(1+j)+6.336*(1+j)*(1+j)*(1+j)*(1+j)*(1+j) .
Question type: Equation
Solution:Original question:
| 20 | = | 108 25 | ( | 1 | + | j | ) | + | 45159 10000 | ( | 1 | + | j | ) | ( | 1 | + | j | ) | + | 126 25 | ( | 1 | + | j | ) | ( | 1 | + | j | ) | ( | 1 | + | j | ) | + | 1413 250 | ( | 1 | + | j | ) | ( | 1 | + | j | ) |
| Right side of the equation = | 108 25 | × | 1 | + | 108 25 | j | + | 45159 10000 | ( | 1 | + | j | ) | ( | 1 | + | j | ) | + | 126 25 | ( | 1 | + | j | ) | ( | 1 | + | j | ) | ( | 1 | + | j | ) | + | 1413 250 |
| = | 108 25 | + | 108 25 | j | + | 45159 10000 | ( | 1 | + | j | ) | ( | 1 | + | j | ) | + | 126 25 | ( | 1 | + | j | ) | ( | 1 | + | j | ) | ( | 1 | + | j | ) | + | 1413 250 | ( | 1 | + | j | ) |
| = | 108 25 | + | 108 25 | j | + | 45159 10000 | × | 1 | ( | 1 | + | j | ) | + | 45159 10000 | j | ( | 1 | + | j | ) | + | 126 25 | ( | 1 | + | j | ) | ( | 1 | + | j | ) |
| = | 108 25 | + | 108 25 | j | + | 45159 10000 | ( | 1 | + | j | ) | + | 45159 10000 | j | ( | 1 | + | j | ) | + | 126 25 | ( | 1 | + | j | ) | ( | 1 | + | j | ) | ( | 1 | + | j | ) |
| = | 108 25 | + | 108 25 | j | + | 45159 10000 | × | 1 | + | 45159 10000 | j | + | 45159 10000 | j | ( | 1 | + | j | ) | + | 126 25 | ( | 1 | + | j | ) |
| = | 108 25 | + | 108 25 | j | + | 45159 10000 | + | 45159 10000 | j | + | 45159 10000 | j | ( | 1 | + | j | ) | + | 126 25 | ( | 1 | + | j | ) | ( | 1 | + | j | ) |
| = | 88359 10000 | + | 88359 10000 | j | + | 45159 10000 | j | ( | 1 | + | j | ) | + | 126 25 | ( | 1 | + | j | ) | ( | 1 | + | j | ) | ( | 1 | + | j | ) | + | 1413 250 | ( | 1 | + | j | ) |
| = | 88359 10000 | + | 88359 10000 | j | + | 45159 10000 | j | × | 1 | + | 45159 10000 | j | j | + | 126 25 | ( | 1 | + | j | ) | ( | 1 | + | j | ) |
| = | 88359 10000 | + | 88359 10000 | j | + | 45159 10000 | j | + | 45159 10000 | j | j | + | 126 25 | ( | 1 | + | j | ) | ( | 1 | + | j | ) | ( | 1 | + | j | ) |
| = | 88359 10000 | + | 66759 5000 | j | + | 45159 10000 | j | j | + | 126 25 | ( | 1 | + | j | ) | ( | 1 | + | j | ) | ( | 1 | + | j | ) | + | 1413 250 | ( | 1 | + | j | ) |
| = | 88359 10000 | + | 66759 5000 | j | + | 45159 10000 | j | j | + | 126 25 | × | 1 | ( | 1 | + | j | ) | ( | 1 | + | j | ) | + | 126 25 | j |
| = | 88359 10000 | + | 66759 5000 | j | + | 45159 10000 | j | j | + | 126 25 | ( | 1 | + | j | ) | ( | 1 | + | j | ) | + | 126 25 | j | ( | 1 | + | j | ) |
| = | 88359 10000 | + | 66759 5000 | j | + | 45159 10000 | j | j | + | 126 25 | × | 1 | ( | 1 | + | j | ) | + | 126 25 | j | ( | 1 | + | j | ) |
| = | 88359 10000 | + | 66759 5000 | j | + | 45159 10000 | j | j | + | 126 25 | ( | 1 | + | j | ) | + | 126 25 | j | ( | 1 | + | j | ) | + | 126 25 |
| = | 88359 10000 | + | 66759 5000 | j | + | 45159 10000 | j | j | + | 126 25 | × | 1 | + | 126 25 | j | + | 126 25 | j |
| = | 88359 10000 | + | 66759 5000 | j | + | 45159 10000 | j | j | + | 126 25 | + | 126 25 | j | + | 126 25 | j | ( | 1 | + | j | ) |
| = | 138759 10000 | + | 91959 5000 | j | + | 45159 10000 | j | j | + | 126 25 | j | ( | 1 | + | j | ) | + | 126 25 | j | ( | 1 | + | j | ) |
| = | 138759 10000 | + | 91959 5000 | j | + | 45159 10000 | j | j | + | 126 25 | j | × | 1 | + | 126 25 | j | j |
| = | 138759 10000 | + | 91959 5000 | j | + | 45159 10000 | j | j | + | 126 25 | j | + | 126 25 | j | j | + | 126 25 |
| = | 138759 10000 | + | 117159 5000 | j | + | 45159 10000 | j | j | + | 126 25 | j | j | + | 126 25 | j | ( | 1 | + | j | ) |
| = | 138759 10000 | + | 117159 5000 | j | + | 45159 10000 | j | j | + | 126 25 | j | j | + | 126 25 | j | × | 1 |
| = | 138759 10000 | + | 117159 5000 | j | + | 45159 10000 | j | j | + | 126 25 | j | j | + | 126 25 | j | ( | 1 | + | j | ) |
| = | 138759 10000 | + | 117159 5000 | j | + | 45159 10000 | j | j | + | 126 25 | j | j | + | 126 25 | j | × | 1 |
| = | 138759 10000 | + | 117159 5000 | j | + | 45159 10000 | j | j | + | 126 25 | j | j | + | 126 25 | j | + | 126 25 |
| = | 138759 10000 | + | 142359 5000 | j | + | 45159 10000 | j | j | + | 126 25 | j | j | + | 126 25 | j | j |
j≈-0.079183 , keep 6 decimal places
There are 1 solution(s).
解一元一次方程的详细方法请参阅：《一元一次方程的解法》