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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 12/（35-3x）+18/（34-3x） = 18/17 .
Question type: Equation
Solution:Original question:
| 12 | ÷ | ( | 35 | − | 3 | x | ) | + | 18 | ÷ | ( | 34 | − | 3 | x | ) | = | 18 | ÷ | 17 |
| Multiply both sides of the equation by: | ( | 35 | − | 3 | x | ) |
| 12 | + | 18 | ÷ | ( | 34 | − | 3 | x | ) | × | ( | 35 | − | 3 | x | ) | = | 18 | ÷ | 17 | × | ( | 35 | − | 3 | x | ) |
| 12 | + | 18 | ÷ | ( | 34 | − | 3 | x | ) | × | 35 | − | 18 | ÷ | ( | 34 | − | 3 | x | ) | × | 3 | x | = | 18 | ÷ | 17 | × | ( | 35 | − | 3 | x | ) |
| 12 | + | 18 | ÷ | ( | 34 | − | 3 | x | ) | × | 35 | − | 18 | ÷ | ( | 34 | − | 3 | x | ) | × | 3 | x | = | 18 | ÷ | 17 | × | 35 | − | 18 | ÷ | 17 | × | 3 | x |
| 12 | + | 630 | ÷ | ( | 34 | − | 3 | x | ) | − | 54 | ÷ | ( | 34 | − | 3 | x | ) | × | x | = | 630 17 | − | 54 17 | x |
| Multiply both sides of the equation by: | ( | 34 | − | 3 | x | ) |
| 12 | ( | 34 | − | 3 | x | ) | + | 630 | − | 54 | x | = | 630 17 | ( | 34 | − | 3 | x | ) | − | 54 17 | x | ( | 34 | − | 3 | x | ) |
| 12 | × | 34 | − | 12 | × | 3 | x | + | 630 | − | 54 | x | = | 630 17 | ( | 34 | − | 3 | x | ) | − | 54 17 | x | ( | 34 | − | 3 | x | ) |
| 12 | × | 34 | − | 12 | × | 3 | x | + | 630 | − | 54 | x | = | 630 17 | × | 34 | − | 630 17 | × | 3 | x | − | 54 17 | x | ( | 34 | − | 3 | x | ) |
| 408 | − | 36 | x | + | 630 | − | 54 | x | = | 1260 | − | 1890 17 | x | − | 54 17 | x | ( | 34 | − | 3 | x | ) |
| 1038 | − | 90 | x | = | 1260 | − | 1890 17 | x | − | 54 17 | x | ( | 34 | − | 3 | x | ) |
| 1038 | − | 90 | x | = | 1260 | − | 1890 17 | x | − | 54 17 | x | × | 34 | + | 54 17 | x | × | 3 | x |
| 1038 | − | 90 | x | = | 1260 | − | 1890 17 | x | − | 108 | x | + | 162 17 | x | x |
| 1038 | − | 90 | x | = | 1260 | − | 3726 17 | x | + | 162 17 | x | x |
The solution of the equation:
x1≈2.019419 , keep 6 decimal places
x2≈11.536136 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》