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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 (180.302+x)/(19200+x) = 0.010606 .
Question type: Equation
Solution:Original question:
| ( | 90151 500 | + | x | ) | ÷ | ( | 19200 | + | x | ) | = | 5303 500000 |
| Multiply both sides of the equation by: | ( | 19200 | + | x | ) |
| ( | 90151 500 | + | x | ) | = | 5303 500000 | ( | 19200 | + | x | ) |
90151 500 | + | x | = | 5303 500000 | ( | 19200 | + | x | ) |
90151 500 | + | x | = | 5303 500000 | × | 19200 | + | 5303 500000 | x |
90151 500 | + | x | = | 127272 625 | + | 5303 500000 | x |
Transposition :
| x | − | 5303 500000 | x | = | 127272 625 | − | 90151 500 |
Combine the items on the left of the equation:
494697 500000 | x | = | 127272 625 | − | 90151 500 |
Combine the items on the right of the equation:
494697 500000 | x | = | 58333 2500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 58333 2500 | ÷ | 494697 500000 |
| = | 58333 2500 | × | 500000 494697 |
| = | 58333 | × | 200 494697 |
We obtained :
| x | = | 11666600 494697 |
Convert the result to decimal form :
| x | = | 23.583325 |