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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 = （4.76×0.0001（1—x）（10.352—3.968x）—1.64×0.0001x×3.968x）×120 .
Question type: Equation
Solution:Original question:
| x | = | ( | 119 25 | × | 1 10000 | ( | 1 | − | x | ) | ( | 1294 125 | − | 496 125 | x | ) | − | 41 25 | × | 1 10000 | x | × | 496 125 | x | ) | × | 120 |
| Right side of the equation = | 119 25 | × | 1 10000 | ( | 1 | − | x | ) | ( | 1294 125 | − | 496 125 | x | ) | × | 120 | − | 41 25 | × | 1 10000 | x | × | 496 125 | x | × | 120 |
| = | 357 6250 | ( | 1 | − | x | ) | ( | 1294 125 | − | 496 125 | x | ) | − | 30504 390625 | x | x |
| = | 357 6250 | × | 1 | ( | 1294 125 | − | 496 125 | x | ) | − | 357 6250 | x | ( | 1294 125 | − | 496 125 | x | ) | − | 30504 390625 | x | x |
| = | 357 6250 | ( | 1294 125 | − | 496 125 | x | ) | − | 357 6250 | x | ( | 1294 125 | − | 496 125 | x | ) | − | 30504 390625 | x | x |
| = | 357 6250 | × | 1294 125 | − | 357 6250 | × | 496 125 | x | − | 357 6250 | x | ( | 1294 125 | − | 496 125 | x | ) | − | 30504 390625 | x | x |
| = | 230979 390625 | − | 88536 390625 | x | − | 357 6250 | x | ( | 1294 125 | − | 496 125 | x | ) | − | 30504 390625 | x | x |
| = | 230979 390625 | − | 88536 390625 | x | − | 357 6250 | x | × | 1294 125 | + | 357 6250 | x | × | 496 125 | x | − | 30504 390625 | x |
| = | 230979 390625 | − | 88536 390625 | x | − | 230979 390625 | x | + | 88536 390625 | x | x | − | 30504 390625 | x | x |
| = | 230979 390625 | − | 63903 78125 | x | + | 88536 390625 | x | x | − | 30504 390625 | x | x |
| x | = | 230979 390625 | − | 63903 78125 | x | + | 88536 390625 | x | x | − | 30504 390625 | x | x |
The solution of the equation:
x1≈0.334396 , keep 6 decimal places
x2≈11.902645 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》