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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 13.255 = 1.205*(1+220/x) .
Question type: Equation
Solution:Original question:
2651 200 | = | 241 200 | ( | 1 | + | 220 | ÷ | x | ) |
2651 200 | = | 241 200 | × | 1 | + | 241 200 | × | 220 | ÷ | x |
2651 200 | = | 241 200 | + | 2651 10 | ÷ | x |
| Multiply both sides of the equation by: | x |
2651 200 | x | = | 241 200 | x | + | 2651 10 |
Transposition :
2651 200 | x | − | 241 200 | x | = | 2651 10 |
Combine the items on the left of the equation:
241 20 | x | = | 2651 10 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 2651 10 | ÷ | 241 20 |
| = | 2651 10 | × | 20 241 |
| = | 2651 | × | 2 241 |
We obtained :
| x | = | 5302 241 |
By reducing fraction, we can get:
| x | = | 22 |