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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 1.29757（x-20） = 0.138（170-x） .
Question type: Equation
Solution:Original question:
129757 100000 | ( | x | − | 20 | ) | = | 69 500 | ( | 170 | − | x | ) |
| Left side of the equation = | 129757 100000 | x | − | 129757 100000 | × | 20 |
| = | 129757 100000 | x | − | 129757 5000 |
129757 100000 | x | − | 129757 5000 | = | 69 500 | ( | 170 | − | x | ) |
| Right side of the equation = | 69 500 | × | 170 | − | 69 500 | x |
| = | 1173 50 | − | 69 500 | x |
129757 100000 | x | − | 129757 5000 | = | 1173 50 | − | 69 500 | x |
Transposition :
129757 100000 | x | + | 69 500 | x | = | 1173 50 | + | 129757 5000 |
Combine the items on the left of the equation:
143557 100000 | x | = | 1173 50 | + | 129757 5000 |
Combine the items on the right of the equation:
143557 100000 | x | = | 247057 5000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 247057 5000 | ÷ | 143557 100000 |
| = | 247057 5000 | × | 100000 143557 |
| = | 247057 | × | 20 143557 |
We obtained :
| x | = | 4941140 143557 |
Convert the result to decimal form :
| x | = | 34.41936 |