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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 9.40268（x-20） = 170-x .
Question type: Equation
Solution:Original question:
235067 25000 | ( | x | − | 20 | ) | = | 170 | − | x |
| Left side of the equation = | 235067 25000 | x | − | 235067 25000 | × | 20 |
| = | 235067 25000 | x | − | 235067 1250 |
235067 25000 | x | − | 235067 1250 | = | 170 | − | x |
Transposition :
235067 25000 | x | + | x | = | 170 | + | 235067 1250 |
Combine the items on the left of the equation:
260067 25000 | x | = | 170 | + | 235067 1250 |
Combine the items on the right of the equation:
260067 25000 | x | = | 447567 1250 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 447567 1250 | ÷ | 260067 25000 |
| = | 447567 1250 | × | 25000 260067 |
| = | 149189 | × | 20 86689 |
We obtained :
| x | = | 2983780 86689 |
Convert the result to decimal form :
| x | = | 34.419361 |