Equations
Fold
Math OP
Unfold
Linear algebra
Unfold
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 (0.408+x)*（0.408+x）/(2-x) = 0.204*0.204 .
Question type: Equation
Solution:Original question:
| ( | 51 125 | + | x | ) | ( | 51 125 | + | x | ) | ÷ | ( | 2 | − | x | ) | = | 51 250 | × | 51 250 |
| Multiply both sides of the equation by: | ( | 2 | − | x | ) |
| ( | 51 125 | + | x | ) | ( | 51 125 | + | x | ) | = | 51 250 | × | 51 250 | ( | 2 | − | x | ) |
51 125 | ( | 51 125 | + | x | ) | + | x | ( | 51 125 | + | x | ) | = | 51 250 | × | 51 250 | ( | 2 | − | x | ) |
51 125 | ( | 51 125 | + | x | ) | + | x | ( | 51 125 | + | x | ) | = | 51 250 | × | 51 250 | × | 2 | − | 51 250 | × | 51 250 | x |
51 125 | ( | 51 125 | + | x | ) | + | x | ( | 51 125 | + | x | ) | = | 2601 31250 | − | 2601 62500 | x |
51 125 | × | 51 125 | + | 51 125 | x | + | x | ( | 51 125 | + | x | ) | = | 2601 31250 | − | 2601 62500 | x |
2601 15625 | + | 51 125 | x | + | x | ( | 51 125 | + | x | ) | = | 2601 31250 | − | 2601 62500 | x |
2601 15625 | + | 51 125 | x | + | x | × | 51 125 | + | x | x | = | 2601 31250 | − | 2601 62500 | x |
2601 15625 | + | 102 125 | x | + | x | x | = | 2601 31250 | − | 2601 62500 | x |
The solution of the equation:
x1≈-0.746053 , keep 6 decimal places
x2≈-0.111563 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》