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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 (2x-10)/(5.76x-3) = 0.03 .
Question type: Equation
Solution:Original question:
| ( | 2 | x | − | 10 | ) | ÷ | ( | 144 25 | x | − | 3 | ) | = | 3 100 |
| Multiply both sides of the equation by: | ( | 144 25 | x | − | 3 | ) |
| ( | 2 | x | − | 10 | ) | = | 3 100 | ( | 144 25 | x | − | 3 | ) |
| 2 | x | − | 10 | = | 3 100 | ( | 144 25 | x | − | 3 | ) |
| 2 | x | − | 10 | = | 3 100 | × | 144 25 | x | − | 3 100 | × | 3 |
| 2 | x | − | 10 | = | 108 625 | x | − | 9 100 |
Transposition :
| 2 | x | − | 108 625 | x | = | - | 9 100 | + | 10 |
Combine the items on the left of the equation:
1142 625 | x | = | - | 9 100 | + | 10 |
Combine the items on the right of the equation:
1142 625 | x | = | 991 100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 991 100 | ÷ | 1142 625 |
| = | 991 100 | × | 625 1142 |
| = | 991 4 | × | 25 1142 |
We obtained :
| x | = | 24775 4568 |
Convert the result to decimal form :
| x | = | 5.423599 |