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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/87-4/44.7-4/45-(71.7-X)/500 = 0.115 .
Question type: Equation
Solution:Original question:
| X | ÷ | 87 | − | 4 | ÷ | 447 10 | − | 4 | ÷ | 45 | − | ( | 717 10 | − | X | ) | ÷ | 500 | = | 23 200 |
| Left side of the equation = | X | × | 1 87 | − | 40 447 | − | 4 45 | − | ( | 717 10 | − | X | ) | × | 1 500 |
| = | 1 87 | X | − | 1196 6705 | − | ( | 717 10 | − | X | ) | × | 1 500 |
1 87 | X | − | 1196 6705 | − | ( | 717 10 | − | X | ) | × | 1 500 | = | 23 200 |
| Left side of the equation = | 1 87 | X | − | 1196 6705 | − | 717 10 | × | 1 500 | + | X | × | 1 500 |
| = | 1 87 | X | − | 1196 6705 | − | 717 5000 | + | X | × | 1 500 |
| = | 587 43500 | X | − | 2157497 6705000 |
587 43500 | X | − | 2157497 6705000 | = | 23 200 |
Transposition :
587 43500 | X | = | 23 200 | + | 2157497 6705000 |
Combine the items on the right of the equation:
587 43500 | X | = | 732143 1676250 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 732143 1676250 | ÷ | 587 43500 |
| = | 732143 1676250 | × | 43500 587 |
| = | 732143 2235 | × | 58 587 |
We obtained :
| X | = | 42464294 1311945 |
Convert the result to decimal form :
| X | = | 32.367435 |