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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 0.617(5-0.1x) = 0.1x .
Question type: Equation
Solution:Original question:
617 1000 | ( | 5 | − | 1 10 | x | ) | = | 1 10 | x |
| Left side of the equation = | 617 1000 | × | 5 | − | 617 1000 | × | 1 10 | x |
| = | 617 200 | − | 617 10000 | x |
617 200 | − | 617 10000 | x | = | 1 10 | x |
Transposition :
| - | 617 10000 | x | − | 1 10 | x | = | - | 617 200 |
Combine the items on the left of the equation:
| - | 1617 10000 | x | = | - | 617 200 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
617 200 | = | 1617 10000 | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
1617 10000 | x | = | 617 200 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 617 200 | ÷ | 1617 10000 |
| = | 617 200 | × | 10000 1617 |
| = | 617 | × | 50 1617 |
We obtained :
| x | = | 30850 1617 |
Convert the result to decimal form :
| x | = | 19.078541 |