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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 1.2722（x-20） = 0.138（170-x） .
Question type: Equation
Solution:Original question:
6361 5000 | ( | x | − | 20 | ) | = | 69 500 | ( | 170 | − | x | ) |
| Left side of the equation = | 6361 5000 | x | − | 6361 5000 | × | 20 |
| = | 6361 5000 | x | − | 6361 250 |
6361 5000 | x | − | 6361 250 | = | 69 500 | ( | 170 | − | x | ) |
| Right side of the equation = | 69 500 | × | 170 | − | 69 500 | x |
| = | 1173 50 | − | 69 500 | x |
6361 5000 | x | − | 6361 250 | = | 1173 50 | − | 69 500 | x |
Transposition :
6361 5000 | x | + | 69 500 | x | = | 1173 50 | + | 6361 250 |
Combine the items on the left of the equation:
7051 5000 | x | = | 1173 50 | + | 6361 250 |
Combine the items on the right of the equation:
7051 5000 | x | = | 6113 125 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 6113 125 | ÷ | 7051 5000 |
| = | 6113 125 | × | 5000 7051 |
| = | 6113 | × | 40 7051 |
We obtained :
| x | = | 244520 7051 |
Convert the result to decimal form :
| x | = | 34.678769 |