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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 80.34（x-20） = 4.97931（170-x) .
Question type: Equation
Solution:Original question:
4017 50 | ( | x | − | 20 | ) | = | 497931 100000 | ( | 170 | − | x | ) |
| Left side of the equation = | 4017 50 | x | − | 4017 50 | × | 20 |
| = | 4017 50 | x | − | 8034 5 |
4017 50 | x | − | 8034 5 | = | 497931 100000 | ( | 170 | − | x | ) |
| Right side of the equation = | 497931 100000 | × | 170 | − | 497931 100000 | x |
| = | 8464827 10000 | − | 497931 100000 | x |
4017 50 | x | − | 8034 5 | = | 8464827 10000 | − | 497931 100000 | x |
Transposition :
4017 50 | x | + | 497931 100000 | x | = | 8464827 10000 | + | 8034 5 |
Combine the items on the left of the equation:
8531931 100000 | x | = | 8464827 10000 | + | 8034 5 |
Combine the items on the right of the equation:
8531931 100000 | x | = | 24532827 10000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 24532827 10000 | ÷ | 8531931 100000 |
| = | 24532827 10000 | × | 100000 8531931 |
| = | 8177609 | × | 10 2843977 |
We obtained :
| x | = | 81776090 2843977 |
Convert the result to decimal form :
| x | = | 28.754132 |