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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-7%/8% = (2.6086-2.6243)/(2.5771-2.6243) .
Question type: Equation
Solution:Original question:
| X | − | 7 100 | ÷ | 8 100 | = | ( | 13043 5000 | − | 26243 10000 | ) | ÷ | ( | 25771 10000 | − | 26243 10000 | ) |
| Multiply both sides of the equation by: | ( | 25771 10000 | − | 26243 10000 | ) |
| X | ( | 25771 10000 | − | 26243 10000 | ) | − | 7 100 | ÷ | 8 100 | × | ( | 25771 10000 | − | 26243 10000 | ) | = | ( | 13043 5000 | − | 26243 10000 | ) |
| X | × | 25771 10000 | − | X | × | 26243 10000 | − | 7 100 | ÷ | 8 100 | × | ( | 25771 10000 | − | 26243 10000 | ) | = | ( | 13043 5000 | − | 26243 10000 | ) |
| X | × | 25771 10000 | − | X | × | 26243 10000 | − | 7 100 | ÷ | 8 100 | × | ( | 25771 10000 | − | 26243 10000 | ) | = | 13043 5000 | − | 26243 10000 |
| X | × | 25771 10000 | − | X | × | 26243 10000 | − | 7 8 | ( | 25771 10000 | − | 26243 10000 | ) | = | 13043 5000 | − | 26243 10000 |
| - | 59 1250 | X | − | 7 8 | ( | 25771 10000 | − | 26243 10000 | ) | = | - | 157 10000 |
| - | 59 1250 | X | − | 7 8 | × | 25771 10000 | + | 7 8 | × | 26243 10000 | = | - | 157 10000 |
| - | 59 1250 | X | − | 180397 80000 | + | 183701 80000 | = | - | 157 10000 |
| - | 59 1250 | X | + | 413 10000 | = | - | 157 10000 |
Transposition :
| - | 59 1250 | X | = | - | 157 10000 | − | 413 10000 |
Combine the items on the right of the equation:
| - | 59 1250 | X | = | - | 57 1000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
57 1000 | = | 59 1250 | 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 :
59 1250 | X | = | 57 1000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 57 1000 | ÷ | 59 1250 |
| = | 57 1000 | × | 1250 59 |
| = | 57 4 | × | 5 59 |
We obtained :
| X | = | 285 236 |
Convert the result to decimal form :
| X | = | 1.207627 |