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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 1.28358（x-20） = 0.138（170-x） .
Question type: Equation
Solution:Original question:
64179 50000 | ( | x | − | 20 | ) | = | 69 500 | ( | 170 | − | x | ) |
| Left side of the equation = | 64179 50000 | x | − | 64179 50000 | × | 20 |
| = | 64179 50000 | x | − | 64179 2500 |
64179 50000 | x | − | 64179 2500 | = | 69 500 | ( | 170 | − | x | ) |
| Right side of the equation = | 69 500 | × | 170 | − | 69 500 | x |
| = | 1173 50 | − | 69 500 | x |
64179 50000 | x | − | 64179 2500 | = | 1173 50 | − | 69 500 | x |
Transposition :
64179 50000 | x | + | 69 500 | x | = | 1173 50 | + | 64179 2500 |
Combine the items on the left of the equation:
71079 50000 | x | = | 1173 50 | + | 64179 2500 |
Combine the items on the right of the equation:
71079 50000 | x | = | 122829 2500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 122829 2500 | ÷ | 71079 50000 |
| = | 122829 2500 | × | 50000 71079 |
| = | 40943 | × | 20 23693 |
We obtained :
| x | = | 818860 23693 |
Convert the result to decimal form :
| x | = | 34.561263 |