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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 10.2*(1+7.65%*x)*((5.68*(1-x)-3.8))-18.36 = 0 .
Question type: Equation
Solution:Original question:
51 5 | ( | 1 | + | 153 2000 | x | ) | ( | ( | 142 25 | ( | 1 | − | x | ) | − | 19 5 | ) | ) | − | 459 25 | = | 0 |
| Left side of the equation = | 51 5 | × | 1 | ( | ( | 142 25 | ( | 1 | − | x | ) | − | 19 5 | ) | ) | + | 51 5 | × | 153 2000 | x | ( | ( | 142 25 | ( | 1 | − | x | ) | − | 19 5 | ) | ) | − | 459 25 |
| = | 51 5 | ( | ( | 142 25 | ( | 1 | − | x | ) | − | 19 5 | ) | ) | + | 7803 10000 | x | ( | ( | 142 25 | ( | 1 | − | x | ) | − | 19 5 | ) | ) | − | 459 25 |
| = | 51 5 | ( | 142 25 | ( | 1 | − | x | ) | − | 19 5 | ) | + | 7803 10000 | x | ( | ( | 142 25 | ( | 1 | − | x | ) | − | 19 5 | ) | ) | − | 459 25 |
| = | 51 5 | × | 142 25 | ( | 1 | − | x | ) | − | 51 5 | × | 19 5 | + | 7803 10000 | x | ( | ( | 142 25 | ( | 1 | − | x | ) | − | 19 5 | ) | ) | − | 459 25 |
| = | 7242 125 | ( | 1 | − | x | ) | − | 969 25 | + | 7803 10000 | x | ( | ( | 142 25 | ( | 1 | − | x | ) | − | 19 5 | ) | ) | − | 459 25 |
| = | 7242 125 | ( | 1 | − | x | ) | − | 1428 25 | + | 7803 10000 | x | ( | ( | 142 25 | ( | 1 | − | x | ) | − | 19 5 | ) | ) |
| = | 7242 125 | × | 1 | − | 7242 125 | x | − | 1428 25 | + | 7803 10000 | x | ( | ( | 142 25 | ( | 1 | − | x | ) | − | 19 5 | ) | ) |
| = | 7242 125 | − | 7242 125 | x | − | 1428 25 | + | 7803 10000 | x | ( | ( | 142 25 | ( | 1 | − | x | ) | − | 19 5 | ) | ) |
| = | 102 125 | − | 7242 125 | x | + | 7803 10000 | x | ( | ( | 142 25 | ( | 1 | − | x | ) | − | 19 5 | ) | ) |
| = | 102 125 | − | 7242 125 | x | + | 7803 10000 | x | ( | 142 25 | ( | 1 | − | x | ) | − | 19 5 | ) |
| = | 102 125 | − | 7242 125 | x | + | 7803 10000 | x | × | 142 25 | ( | 1 | − | x | ) | − | 7803 10000 | x | × | 19 5 |
| = | 102 125 | − | 7242 125 | x | + | 554013 125000 | x | ( | 1 | − | x | ) | − | 148257 50000 | x |
| = | 102 125 | − | 3045057 50000 | x | + | 554013 125000 | x | ( | 1 | − | x | ) |
| = | 102 125 | − | 3045057 50000 | x | + | 554013 125000 | x | × | 1 | − | 554013 125000 | x | x |
| = | 102 125 | − | 3045057 50000 | x | + | 554013 125000 | x | − | 554013 125000 | x | x |
The solution of the equation:
x1≈-12.755344 , keep 6 decimal places
x2≈0.014434 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》