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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 (x+0.1875)*x = 2.21*(0.0625-x)*(0.875-x) .
Question type: Equation
Solution:Original question:
| ( | x | + | 3 16 | ) | x | = | 221 100 | ( | 1 16 | − | x | ) | ( | 7 8 | − | x | ) |
| Left side of the equation = | x | x | + | 3 16 | x |
| x | x | + | 3 16 | x | = | 221 100 | ( | 1 16 | − | x | ) | ( | 7 8 | − | x | ) |
| Right side of the equation = | 221 100 | × | 1 16 | ( | 7 8 | − | x | ) | − | 221 100 | x | ( | 7 8 | − | x | ) |
| = | 221 1600 | ( | 7 8 | − | x | ) | − | 221 100 | x | ( | 7 8 | − | x | ) |
| = | 221 1600 | × | 7 8 | − | 221 1600 | x | − | 221 100 | x | ( | 7 8 | − | x | ) |
| = | 1547 12800 | − | 221 1600 | x | − | 221 100 | x | ( | 7 8 | − | x | ) |
| = | 1547 12800 | − | 221 1600 | x | − | 221 100 | x | × | 7 8 | + | 221 100 | x | x |
| = | 1547 12800 | − | 221 1600 | x | − | 1547 800 | x | + | 221 100 | x | x |
| = | 1547 12800 | − | 663 320 | x | + | 221 100 | x | x |
| x | x | + | 3 16 | x | = | 1547 12800 | − | 663 320 | x | + | 221 100 | x | x |
The solution of the equation:
x1≈0.055119 , keep 6 decimal places
x2≈1.812133 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》