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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 5.815(X-20) = 438-X .
Question type: Equation
Solution:Original question:
1163 200 | ( | X | − | 20 | ) | = | 438 | − | X |
| Left side of the equation = | 1163 200 | X | − | 1163 200 | × | 20 |
| = | 1163 200 | X | − | 1163 10 |
1163 200 | X | − | 1163 10 | = | 438 | − | X |
Transposition :
1163 200 | X | + | X | = | 438 | + | 1163 10 |
Combine the items on the left of the equation:
1363 200 | X | = | 438 | + | 1163 10 |
Combine the items on the right of the equation:
1363 200 | X | = | 5543 10 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 5543 10 | ÷ | 1363 200 |
| = | 5543 10 | × | 200 1363 |
| = | 5543 | × | 20 1363 |
We obtained :
| X | = | 110860 1363 |
Convert the result to decimal form :
| X | = | 81.33529 |