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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 (9％-x)/(9％-10％) = 0.432/7.154 .
Question type: Equation
Solution:Original question:
| ( | 9 100 | − | x | ) | ÷ | ( | 9 100 | − | 10 100 | ) | = | 54 125 | ÷ | 3577 500 |
| Multiply both sides of the equation by: | ( | 9 100 | − | 10 100 | ) |
| ( | 9 100 | − | x | ) | = | 54 125 | ÷ | 3577 500 | × | ( | 9 100 | − | 10 100 | ) |
9 100 | − | x | = | 54 125 | ÷ | 3577 500 | × | ( | 9 100 | − | 10 100 | ) |
9 100 | − | x | = | 54 125 | ÷ | 3577 500 | × | 9 100 | − | 54 125 | ÷ | 3577 500 | × | 10 100 |
9 100 | − | x | = | 486 89425 | − | 108 17885 |
9 100 | − | x | = | - | 3942 6528025 |
Transposition :
| - | x | = | - | 3942 6528025 | − | 9 100 |
Combine the items on the right of the equation:
| - | x | = | - | 32409 357700 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
32409 357700 | = | 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 :
| x | = | 32409 357700 |
This is the solution of the equation.