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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 10/87+（85-X）/126-X/1000 = 0.286 .
Question type: Equation
Solution:Original question:
| 10 | ÷ | 87 | + | ( | 85 | − | X | ) | ÷ | 126 | − | X | ÷ | 1000 | = | 143 500 |
| Left side of the equation = | 10 87 | + | ( | 85 | − | X | ) | × | 1 126 | − | X | × | 1 1000 |
10 87 | + | ( | 85 | − | X | ) | × | 1 126 | − | 1 1000 | X | = | 143 500 |
| Left side of the equation = | 10 87 | + | 85 | × | 1 126 | − | X | × | 1 126 | − | 1 1000 | X |
| = | 10 87 | + | 85 126 | − | X | × | 1 126 | − | 1 1000 | X |
| = | 2885 3654 | − | 563 63000 | X |
2885 3654 | − | 563 63000 | X | = | 143 500 |
Transposition :
| - | 563 63000 | X | = | 143 500 | − | 2885 3654 |
Combine the items on the right of the equation:
| - | 563 63000 | X | = | - | 459989 913500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
459989 913500 | = | 563 63000 | X |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
563 63000 | X | = | 459989 913500 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 459989 913500 | ÷ | 563 63000 |
| = | 459989 913500 | × | 63000 563 |
| = | 459989 29 | × | 2 563 |
We obtained :
| X | = | 919978 16327 |
Convert the result to decimal form :
| X | = | 56.347033 |