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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 36.5182（x-20） = 4.5456（170-x) .
Question type: Equation
Solution:Original question:
182591 5000 | ( | x | − | 20 | ) | = | 2841 625 | ( | 170 | − | x | ) |
| Left side of the equation = | 182591 5000 | x | − | 182591 5000 | × | 20 |
| = | 182591 5000 | x | − | 182591 250 |
182591 5000 | x | − | 182591 250 | = | 2841 625 | ( | 170 | − | x | ) |
| Right side of the equation = | 2841 625 | × | 170 | − | 2841 625 | x |
| = | 96594 125 | − | 2841 625 | x |
182591 5000 | x | − | 182591 250 | = | 96594 125 | − | 2841 625 | x |
Transposition :
182591 5000 | x | + | 2841 625 | x | = | 96594 125 | + | 182591 250 |
Combine the items on the left of the equation:
205319 5000 | x | = | 96594 125 | + | 182591 250 |
Combine the items on the right of the equation:
205319 5000 | x | = | 375779 250 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 375779 250 | ÷ | 205319 5000 |
| = | 375779 250 | × | 5000 205319 |
| = | 375779 | × | 20 205319 |
We obtained :
| x | = | 7515580 205319 |
Convert the result to decimal form :
| x | = | 36.604406 |