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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 500-(493.7-x)/(493.7-x) = 1.26 .
Question type: Equation
Solution:Original question:
| 500 | − | ( | 4937 10 | − | x | ) | ÷ | ( | 4937 10 | − | x | ) | = | 63 50 |
| Multiply both sides of the equation by: | ( | 4937 10 | − | x | ) |
| 500 | ( | 4937 10 | − | x | ) | − | ( | 4937 10 | − | x | ) | = | 63 50 | ( | 4937 10 | − | x | ) |
| 500 | × | 4937 10 | − | 500 | x | − | ( | 4937 10 | − | x | ) | = | 63 50 | ( | 4937 10 | − | x | ) |
| 500 | × | 4937 10 | − | 500 | x | − | ( | 4937 10 | − | x | ) | = | 63 50 | × | 4937 10 | − | 63 50 | x |
| 246850 | − | 500 | x | − | ( | 4937 10 | − | x | ) | = | 311031 500 | − | 63 50 | x |
| 246850 | − | 500 | x | − | 4937 10 | + | x | = | 311031 500 | − | 63 50 | x |
2463563 10 | − | 499 | x | = | 311031 500 | − | 63 50 | x |
Transposition :
| - | 499 | x | + | 63 50 | x | = | 311031 500 | − | 2463563 10 |
Combine the items on the left of the equation:
| - | 24887 50 | x | = | 311031 500 | − | 2463563 10 |
Combine the items on the right of the equation:
| - | 24887 50 | x | = | - | 122867119 500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
122867119 500 | = | 24887 50 | 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 :
24887 50 | x | = | 122867119 500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 122867119 500 | ÷ | 24887 50 |
| = | 122867119 500 | × | 50 24887 |
| = | 2996759 10 | × | 1 607 |
We obtained :
| x | = | 2996759 6070 |
4937
10
| x | = | 2996759 6070 |