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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/0.126 = (x-18)/0.074 .
Question type: Equation
Solution:Original question:
| x | ÷ | 63 500 | = | ( | x | − | 18 | ) | ÷ | 37 500 |
| Right side of the equation = | x | × | 500 37 | − | 18 | × | 500 37 |
| = | x | × | 500 37 | − | 9000 37 |
500 63 | x | = | 500 37 | x | − | 9000 37 |
Transposition :
500 63 | x | − | 500 37 | x | = | - | 9000 37 |
Combine the items on the left of the equation:
| - | 13000 2331 | x | = | - | 9000 37 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
9000 37 | = | 13000 2331 | 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 :
13000 2331 | x | = | 9000 37 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 9000 37 | ÷ | 13000 2331 |
| = | 9000 37 | × | 2331 13000 |
| = | 9 | × | 63 13 |
We obtained :
| x | = | 567 13 |
Convert the result to decimal form :
| x | = | 43.615385 |