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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 155-6.2x = （4.447x-111.168）/［（305-7.2x）/（150-x）］ .
Question type: Equation
Solution:Original question:
| 155 | − | 31 5 | x | = | ( | 4447 1000 | x | − | 13896 125 | ) | ÷ | ( | ( | 305 | − | 36 5 | x | ) | ÷ | ( | 150 | − | x | ) | ) |
| Multiply both sides of the equation by: | ( | ( | 305 | − | 36 5 | x | ) | ÷ | ( | 150 | − | x | ) | ) |
| 155 | ( | ( | 305 | − | 36 5 | x | ) | ÷ | ( | 150 | − | x | ) | ) | − | 31 5 | x | ( | ( | 305 | − | 36 5 | x | ) | ÷ | ( | 150 | − | x | ) | ) | = | ( | 4447 1000 | x | − | 13896 125 | ) |
| 155 | ( | 305 | − | 36 5 | x | ) | ÷ | ( | 150 | − | x | ) | − | 31 5 | x | ( | ( | 305 | − | 36 5 | x | ) | ÷ | ( | 150 | − | x | ) | ) | = | ( | 4447 1000 | x | − | 13896 125 | ) |
| 155 | ( | 305 | − | 36 5 | x | ) | ÷ | ( | 150 | − | x | ) | − | 31 5 | x | ( | ( | 305 | − | 36 5 | x | ) | ÷ | ( | 150 | − | x | ) | ) | = | 4447 1000 | x | − | 13896 125 |
| Multiply both sides of the equation by: | ( | 150 | − | x | ) |
| 155 | ( | 305 | − | 36 5 | x | ) | − | 31 5 | x | ( | ( | 305 | − | 36 5 | x | ) | ÷ | ( | 150 | − | x | ) | ) | ( | 150 | − | x | ) | = | 4447 1000 | x | ( | 150 | − | x | ) | − | 13896 125 | ( | 150 | − | x | ) |
| 155 | × | 305 | − | 155 | × | 36 5 | x | − | 31 5 | x | ( | ( | 305 | − | 36 5 | x | ) | ÷ | ( | 150 | − | x | ) | ) | ( | 150 | − | x | ) | = | 4447 1000 | x | ( | 150 | − | x | ) | − | 13896 125 | ( | 150 | − | x | ) |
| 155 | × | 305 | − | 155 | × | 36 5 | x | − | 31 5 | x | ( | ( | 305 | − | 36 5 | x | ) | ÷ | ( | 150 | − | x | ) | ) | ( | 150 | − | x | ) | = | 4447 1000 | x | × | 150 | − | 4447 1000 | x | x | − | 13896 125 | ( | 150 | − | x | ) |
| 47275 | − | 1116 | x | − | 31 5 | x | ( | ( | 305 | − | 36 5 | x | ) | ÷ | ( | 150 | − | x | ) | ) | ( | 150 | − | x | ) | = | 13341 20 | x | − | 4447 1000 | x | x | − | 13896 125 | ( | 150 | − | x | ) |
| 47275 | − | 1116 | x | − | 31 5 | x | ( | 305 | − | 36 5 | x | ) | ÷ | ( | 150 | − | x | ) | × | ( | 150 | − | x | ) | = | 13341 20 | x | − | 4447 1000 | x | x | − | 13896 125 | ( | 150 | − | x | ) |
| 47275 | − | 1116 | x | − | 31 5 | x | ( | 305 | − | 36 5 | x | ) | ÷ | ( | 150 | − | x | ) | × | ( | 150 | − | x | ) | = | 13341 20 | x | − | 4447 1000 | x | x | − | 13896 125 | × | 150 | + | 13896 125 | x |
| 47275 | − | 1116 | x | − | 31 5 | x | ( | 305 | − | 36 5 | x | ) | ÷ | ( | 150 | − | x | ) | × | ( | 150 | − | x | ) | = | 13341 20 | x | − | 4447 1000 | x | x | − | 83376 5 | + | 13896 125 | x |
| 47275 | − | 1116 | x | − | 31 5 | x | ( | 305 | − | 36 5 | x | ) | ÷ | ( | 150 | − | x | ) | × | ( | 150 | − | x | ) | = | 389109 500 | x | − | 4447 1000 | x | x | − | 83376 5 |
| Multiply both sides of the equation by: | ( | 150 | − | x | ) |
| 47275 | ( | 150 | − | x | ) | − | 1116 | x | ( | 150 | − | x | ) | − | 31 5 | x | ( | 305 | − | 36 5 | x | ) | ( | 150 | − | x | ) | = | 389109 500 | x | ( | 150 | − | x | ) | − | 4447 1000 | x | x | ( | 150 | − | x | ) | − | 83376 5 | ( | 150 | − | x | ) |
| 47275 | × | 150 | − | 47275 | x | − | 1116 | x | ( | 150 | − | x | ) | − | 31 5 | x | ( | 305 | − | 36 5 | x | ) | ( | 150 | − | x | ) | = | 389109 500 | x | ( | 150 | − | x | ) | − | 4447 1000 | x | x | ( | 150 | − | x | ) | − | 83376 5 | ( | 150 | − | x | ) |
| 47275 | × | 150 | − | 47275 | x | − | 1116 | x | ( | 150 | − | x | ) | − | 31 5 | x | ( | 305 | − | 36 5 | x | ) | ( | 150 | − | x | ) | = | 389109 500 | x | × | 150 | − | 389109 500 | x | x | − | 4447 1000 | x | x | ( | 150 | − | x | ) | − | 83376 5 | ( | 150 | − | x | ) |
| 7091250 | − | 47275 | x | − | 1116 | x | ( | 150 | − | x | ) | − | 31 5 | x | ( | 305 | − | 36 5 | x | ) | ( | 150 | − | x | ) | = | 1167327 10 | x | − | 389109 500 | x | x | − | 4447 1000 | x | x | ( | 150 | − | x | ) | − | 83376 5 | ( | 150 | − | x | ) |
| 7091250 | − | 47275 | x | − | 1116 | x | × | 150 | + | 1116 | x | x | − | 31 5 | x | ( | 305 | − | 36 5 | x | ) | = | 1167327 10 | x | − | 389109 500 | x | x | − | 4447 1000 | x | x | ( | 150 | − | x | ) | − | 83376 5 | ( | 150 | − | x | ) |
| 7091250 | − | 47275 | x | − | 1116 | x | × | 150 | + | 1116 | x | x | − | 31 5 | x | ( | 305 | − | 36 5 | x | ) | = | 1167327 10 | x | − | 389109 500 | x | x | − | 4447 1000 | x | x | × | 150 | + | 4447 1000 | x | x |
| 7091250 | − | 47275 | x | − | 167400 | x | + | 1116 | x | x | − | 31 5 | x | ( | 305 | − | 36 5 | x | ) | ( | 150 | − | x | ) | = | 1167327 10 | x | − | 389109 500 | x | x | − | 13341 20 | x | x | + | 4447 1000 | x | x | x |
| 7091250 | − | 214675 | x | + | 1116 | x | x | − | 31 5 | x | ( | 305 | − | 36 5 | x | ) | ( | 150 | − | x | ) | = | 1167327 10 | x | − | 389109 500 | x | x | − | 13341 20 | x | x | + | 4447 1000 | x | x | x |
| 7091250 | − | 214675 | x | + | 1116 | x | x | − | 31 5 | x | × | 305 | ( | 150 | − | x | ) | + | 31 5 | x | = | 1167327 10 | x | − | 389109 500 | x | x | − | 13341 20 | x | x | + | 4447 1000 | x | x | x |
| 7091250 | − | 214675 | x | + | 1116 | x | x | − | 31 5 | x | × | 305 | ( | 150 | − | x | ) | + | 31 5 | x | = | 1167327 10 | x | − | 389109 500 | x | x | − | 13341 20 | x | x | + | 4447 1000 | x | x | x |
| 7091250 | − | 214675 | x | + | 1116 | x | x | − | 1891 | x | ( | 150 | − | x | ) | + | 1116 25 | x | x | = | 1167327 10 | x | − | 389109 500 | x | x | − | 13341 20 | x | x | + | 4447 1000 | x | x | x |
The solution of the equation:
x1≈24.999343 , keep 6 decimal places
x2≈52.113090 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》