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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/135+(95-X)/1446 = 0.286 .
Question type: Equation
Solution:Original question:
| X | ÷ | 135 | + | ( | 95 | − | X | ) | ÷ | 1446 | = | 143 500 |
| Left side of the equation = | 1 135 | X | + | 95 | × | 1 1446 | − | X | × | 1 1446 |
| = | 1 135 | X | + | 95 1446 | − | X | × | 1 1446 |
| = | 437 65070 | X | + | 95 1446 |
437 65070 | X | + | 95 1446 | = | 143 500 |
Transposition :
437 65070 | X | = | 143 500 | − | 95 1446 |
Combine the items on the right of the equation:
437 65070 | X | = | 79639 361500 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 79639 361500 | ÷ | 437 65070 |
| = | 79639 361500 | × | 65070 437 |
| = | 79639 12050 | × | 2169 437 |
We obtained :
| X | = | 172736991 5265850 |
By reducing fraction, we can get:
| X | = | 716751 21850 |
Convert the result to decimal form :
| X | = | 32.803249 |