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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 32.86638（x-20） = （170-x)3.6764 .
Question type: Equation
Solution:Original question:
1643319 50000 | ( | x | − | 20 | ) | = | ( | 170 | − | x | ) | × | 9191 2500 |
| Left side of the equation = | 1643319 50000 | x | − | 1643319 50000 | × | 20 |
| = | 1643319 50000 | x | − | 1643319 2500 |
1643319 50000 | x | − | 1643319 2500 | = | ( | 170 | − | x | ) | × | 9191 2500 |
| Right side of the equation = | 170 | × | 9191 2500 | − | x | × | 9191 2500 |
| = | 156247 250 | − | x | × | 9191 2500 |
1643319 50000 | x | − | 1643319 2500 | = | 156247 250 | − | 9191 2500 | x |
Transposition :
1643319 50000 | x | + | 9191 2500 | x | = | 156247 250 | + | 1643319 2500 |
Combine the items on the left of the equation:
1827139 50000 | x | = | 156247 250 | + | 1643319 2500 |
Combine the items on the right of the equation:
1827139 50000 | x | = | 3205789 2500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 3205789 2500 | ÷ | 1827139 50000 |
| = | 3205789 2500 | × | 50000 1827139 |
| = | 3205789 | × | 20 1827139 |
We obtained :
| x | = | 64115780 1827139 |
Convert the result to decimal form :
| x | = | 35.090806 |