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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 25 = (0.1575+0.07056x)/(0.00315+0.0112x) .
Question type: Equation
Solution:Original question:
| 25 | = | ( | 63 400 | + | 441 6250 | x | ) | ÷ | ( | 63 20000 | + | 7 625 | x | ) |
| Multiply both sides of the equation by: | ( | 63 20000 | + | 7 625 | x | ) |
| 25 | ( | 63 20000 | + | 7 625 | x | ) | = | ( | 63 400 | + | 441 6250 | x | ) |
| 25 | × | 63 20000 | + | 25 | × | 7 625 | x | = | ( | 63 400 | + | 441 6250 | x | ) |
| 25 | × | 63 20000 | + | 25 | × | 7 625 | x | = | 63 400 | + | 441 6250 | x |
63 800 | + | 7 25 | x | = | 63 400 | + | 441 6250 | x |
Transposition :
7 25 | x | − | 441 6250 | x | = | 63 400 | − | 63 800 |
Combine the items on the left of the equation:
1309 6250 | x | = | 63 400 | − | 63 800 |
Combine the items on the right of the equation:
1309 6250 | x | = | 63 800 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 63 800 | ÷ | 1309 6250 |
| = | 63 800 | × | 6250 1309 |
| = | 9 16 | × | 125 187 |
We obtained :
| x | = | 1125 2992 |
Convert the result to decimal form :
| x | = | 0.376003 |