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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 (（x-x/1.13*0.13）+0.05)/7.13 = 0.68 .
Question type: Equation
Solution:Original question:
| ( | ( | x | − | x | ÷ | 113 100 | × | 13 100 | ) | + | 1 20 | ) | ÷ | 713 100 | = | 17 25 |
| Left side of the equation = | ( | x | − | x | ÷ | 113 100 | × | 13 100 | ) | × | 100 713 | + | 1 20 | × | 100 713 |
| = | ( | x | − | x | ÷ | 113 100 | × | 13 100 | ) | × | 100 713 | + | 5 713 |
| = | x | × | 100 713 | − | x | ÷ | 113 100 | × | 13 100 | × | 100 713 | + | 5 713 |
| = | x | × | 100 713 | − | x | × | 1300 80569 | + | 5 713 |
| = | 10000 80569 | x | + | 5 713 |
10000 80569 | x | + | 5 713 | = | 17 25 |
Transposition :
10000 80569 | x | = | 17 25 | − | 5 713 |
Combine the items on the right of the equation:
10000 80569 | x | = | 11996 17825 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 11996 17825 | ÷ | 10000 80569 |
| = | 11996 17825 | × | 80569 10000 |
| = | 2999 775 | × | 3503 2500 |
We obtained :
| x | = | 10505497 1937500 |
By reducing fraction, we can get:
| x | = | 338887 62500 |
Convert the result to decimal form :
| x | = | 5.422192 |