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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 (0.20+6×9.091×10-4-x)(0.20-x) = (0.20+x)(0.20+x) .
Question type: Equation
Solution:Original question:
| ( | 1 5 | + | 6 | × | 9091 1000 | × | 10 | − | 4 | − | x | ) | ( | 1 5 | − | x | ) | = | ( | 1 5 | + | x | ) | ( | 1 5 | + | x | ) |
| Left side of the equation = | 1 5 | ( | 1 5 | − | x | ) | + | 6 | × | 9091 1000 | × | 10 | ( | 1 5 | − | x | ) | − | 4 | ( | 1 5 | − | x | ) | − | x | ( | 1 5 | − | x | ) |
| = | 1 5 | ( | 1 5 | − | x | ) | + | 27273 50 | ( | 1 5 | − | x | ) | − | 4 | ( | 1 5 | − | x | ) | − | x | ( | 1 5 | − | x | ) |
| = | 1 5 | × | 1 5 | − | 1 5 | x | + | 27273 50 | ( | 1 5 | − | x | ) | − | 4 | ( | 1 5 | − | x | ) | − | x | ( | 1 5 | − | x | ) |
| = | 1 25 | − | 1 5 | x | + | 27273 50 | ( | 1 5 | − | x | ) | − | 4 | ( | 1 5 | − | x | ) | − | x | ( | 1 5 | − | x | ) |
| = | 1 25 | − | 1 5 | x | + | 27273 50 | × | 1 5 | − | 27273 50 | x | − | 4 | ( | 1 5 | − | x | ) | − | x | ( | 1 5 | − | x | ) |
| = | 1 25 | − | 1 5 | x | + | 27273 250 | − | 27273 50 | x | − | 4 | ( | 1 5 | − | x | ) | − | x | ( | 1 5 | − | x | ) |
| = | 27283 250 | − | 27283 50 | x | − | 4 | ( | 1 5 | − | x | ) | − | x | ( | 1 5 | − | x | ) |
| = | 27283 250 | − | 27283 50 | x | − | 4 | × | 1 5 | + | 4 | x | − | x | ( | 1 5 | − | x | ) |
| = | 27283 250 | − | 27283 50 | x | − | 4 5 | + | 4 | x | − | x | ( | 1 5 | − | x | ) |
| = | 27083 250 | − | 27083 50 | x | − | x | ( | 1 5 | − | x | ) |
| = | 27083 250 | − | 27083 50 | x | − | x | × | 1 5 | + | x | x |
| = | 27083 250 | − | 27093 50 | x | + | x | x |
27083 250 | − | 27093 50 | x | + | x | x | = | ( | 1 5 | + | x | ) | ( | 1 5 | + | x | ) |
| Right side of the equation = | 1 5 | ( | 1 5 | + | x | ) | + | x | ( | 1 5 | + | x | ) |
| = | 1 5 | × | 1 5 | + | 1 5 | x | + | x | ( | 1 5 | + | x | ) |
| = | 1 25 | + | 1 5 | x | + | x | ( | 1 5 | + | x | ) |
| = | 1 25 | + | 1 5 | x | + | x | × | 1 5 | + | x | x |
| = | 1 25 | + | 2 5 | x | + | x | x |
27083 250 | − | 27093 50 | x | + | x | x | = | 1 25 | + | 2 5 | x | + | x | x |
x≈0.199705 , 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》