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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-0.08)/0.01 = （1250-1295.844)/（1246.644-1295.844) .
Question type: Equation
Solution:Original question:
| ( | x | − | 2 25 | ) | ÷ | 1 100 | = | ( | 1250 | − | 323961 250 | ) | ÷ | ( | 311661 250 | − | 323961 250 | ) |
| Multiply both sides of the equation by: | ( | 311661 250 | − | 323961 250 | ) |
| ( | x | − | 2 25 | ) | ÷ | 1 100 | × | ( | 311661 250 | − | 323961 250 | ) | = | ( | 1250 | − | 323961 250 | ) |
| x | ÷ | 1 100 | × | ( | 311661 250 | − | 323961 250 | ) | − | 2 25 | ÷ | 1 100 | × | ( | 311661 250 | − | 323961 250 | ) | = | ( | 1250 | − | 323961 250 | ) |
| x | ÷ | 1 100 | × | ( | 311661 250 | − | 323961 250 | ) | − | 2 25 | ÷ | 1 100 | × | ( | 311661 250 | − | 323961 250 | ) | = | 1250 | − | 323961 250 |
| x | × | 100 | ( | 311661 250 | − | 323961 250 | ) | − | 8 | ( | 311661 250 | − | 323961 250 | ) | = | 1250 | − | 323961 250 |
| x | × | 100 | ( | 311661 250 | − | 323961 250 | ) | − | 8 | ( | 311661 250 | − | 323961 250 | ) | = | - | 11461 250 |
| x | × | 100 | × | 311661 250 | − | x | × | 100 | × | 323961 250 | − | 8 | ( | 311661 250 | − | 323961 250 | ) | = | - | 11461 250 |
| x | × | 623322 5 | − | x | × | 647922 5 | − | 8 | ( | 311661 250 | − | 323961 250 | ) | = | - | 11461 250 |
| - | 4920 | x | − | 8 | ( | 311661 250 | − | 323961 250 | ) | = | - | 11461 250 |
| - | 4920 | x | − | 8 | × | 311661 250 | + | 8 | × | 323961 250 | = | - | 11461 250 |
| - | 4920 | x | − | 1246644 125 | + | 1295844 125 | = | - | 11461 250 |
| - | 4920 | x | + | 1968 5 | = | - | 11461 250 |
Transposition :
| - | 4920 | x | = | - | 11461 250 | − | 1968 5 |
Combine the items on the right of the equation:
| - | 4920 | x | = | - | 109861 250 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
109861 250 | = | 4920 | 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 :
| 4920 | x | = | 109861 250 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 109861 250 | ÷ | 4920 |
| = | 109861 250 | × | 1 4920 |
We obtained :
| x | = | 109861 1230000 |
Convert the result to decimal form :
| x | = | 0.089318 |