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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 1 = x/（（0.24-x）（7.52-x/2）（82.4-x/2）） .
Question type: Equation
Solution:Original question:
| 1 | = | x | ÷ | ( | ( | 6 25 | − | x | ) | ( | 188 25 | − | x | ÷ | 2 | ) | ( | 412 5 | − | x | ÷ | 2 | ) | ) |
| Multiply both sides of the equation by: | ( | ( | 6 25 | − | x | ) | ( | 188 25 | − | x | ÷ | 2 | ) | ( | 412 5 | − | x | ÷ | 2 | ) | ) |
| 1 | ( | ( | 6 25 | − | x | ) | ( | 188 25 | − | x | ÷ | 2 | ) | ( | 412 5 | − | x | ÷ | 2 | ) | ) | = | x |
| 1 | ( | 6 25 | − | x | ) | ( | 188 25 | − | x | ÷ | 2 | ) | ( | 412 5 | − | x | ÷ | 2 | ) | = | x |
| 1 | × | 6 25 | ( | 188 25 | − | x | ÷ | 2 | ) | ( | 412 5 | − | x | ÷ | 2 | ) | − | 1 | x | ( | 188 25 | − | x | ÷ | 2 | ) | ( | 412 5 | − | x | ÷ | 2 | ) | = | x |
6 25 | ( | 188 25 | − | x | ÷ | 2 | ) | ( | 412 5 | − | x | ÷ | 2 | ) | − | 1 | x | ( | 188 25 | − | x | ÷ | 2 | ) | ( | 412 5 | − | x | ÷ | 2 | ) | = | x |
6 25 | × | 188 25 | ( | 412 5 | − | x | ÷ | 2 | ) | − | 6 25 | x | ÷ | 2 | × | ( | 412 5 | − | x | ÷ | 2 | ) | − | 1 | x | ( | 188 25 | − | x | ÷ | 2 | ) | ( | 412 5 | − | x | ÷ | 2 | ) | = | x |
1128 625 | ( | 412 5 | − | x | ÷ | 2 | ) | − | 3 25 | x | ( | 412 5 | − | x | ÷ | 2 | ) | − | 1 | x | ( | 188 25 | − | x | ÷ | 2 | ) | ( | 412 5 | − | x | ÷ | 2 | ) | = | x |
1128 625 | × | 412 5 | − | 1128 625 | x | ÷ | 2 | − | 3 25 | x | ( | 412 5 | − | x | ÷ | 2 | ) | − | 1 | x | ( | 188 25 | − | x | ÷ | 2 | ) | ( | 412 5 | − | x | ÷ | 2 | ) | = | x |
464736 3125 | − | 564 625 | x | − | 3 25 | x | ( | 412 5 | − | x | ÷ | 2 | ) | − | 1 | x | ( | 188 25 | − | x | ÷ | 2 | ) | ( | 412 5 | − | x | ÷ | 2 | ) | = | x |
464736 3125 | − | 564 625 | x | − | 3 25 | x | × | 412 5 | + | 3 25 | x | x | ÷ | 2 | − | 1 | x | = | x |
464736 3125 | − | 564 625 | x | − | 1236 125 | x | + | 3 50 | x | x | − | 1 | x | ( | 188 25 | − | x | ÷ | 2 | ) | ( | 412 5 | − | x | ÷ | 2 | ) | = | x |
464736 3125 | − | 6744 625 | x | + | 3 50 | x | x | − | 1 | x | ( | 188 25 | − | x | ÷ | 2 | ) | ( | 412 5 | − | x | ÷ | 2 | ) | = | x |
464736 3125 | − | 6744 625 | x | + | 3 50 | x | x | − | 1 | x | × | 188 25 | ( | 412 5 | − | x | ÷ | 2 | ) | + | 1 | x | = | x |
464736 3125 | − | 6744 625 | x | + | 3 50 | x | x | − | 188 25 | x | ( | 412 5 | − | x | ÷ | 2 | ) | + | 1 2 | x | x | = | x |
464736 3125 | − | 6744 625 | x | + | 3 50 | x | x | − | 188 25 | x | × | 412 5 | + | 188 25 | x | x | = | x |
464736 3125 | − | 6744 625 | x | + | 3 50 | x | x | − | 77456 125 | x | + | 94 25 | x | x | + | 1 2 | = | x |
464736 3125 | − | 394024 625 | x | + | 3 50 | x | x | + | 94 25 | x | x | + | 1 2 | x | x | = | x |
464736 3125 | − | 394024 625 | x | + | 3 50 | x | x | + | 94 25 | x | x | + | 1 2 | x | x | = | x |
464736 3125 | − | 394024 625 | x | + | 3 50 | x | x | + | 94 25 | x | x | + | 206 5 | x | x | = | x |
x≈164.773247 , 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》