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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/(7.5-x) = 0.556/0156 .
Question type: Equation
Solution:Original question:
| x | ÷ | ( | 15 2 | − | x | ) | = | 139 250 | ÷ | 156 |
| Multiply both sides of the equation by: | ( | 15 2 | − | x | ) |
| x | = | 139 250 | ÷ | 156 | × | ( | 15 2 | − | x | ) |
| x | = | 139 250 | ÷ | 156 | × | 15 2 | − | 139 250 | ÷ | 156 | × | x |
| x | = | 139 5200 | − | 139 39000 | x |
Transposition :
| x | + | 139 39000 | x | = | 139 5200 |
Combine the items on the left of the equation:
39139 39000 | x | = | 139 5200 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 139 5200 | ÷ | 39139 39000 |
| = | 139 5200 | × | 39000 39139 |
| = | 139 2 | × | 15 39139 |
We obtained :
| x | = | 2085 78278 |
Convert the result to decimal form :
| x | = | 0.026636 |