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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+70)/(19200+x) = 0.010606 .
Question type: Equation
Solution:Original question:
| ( | x | + | 70 | ) | ÷ | ( | 19200 | + | x | ) | = | 5303 500000 |
| Multiply both sides of the equation by: | ( | 19200 | + | x | ) |
| ( | x | + | 70 | ) | = | 5303 500000 | ( | 19200 | + | x | ) |
| x | + | 70 | = | 5303 500000 | ( | 19200 | + | x | ) |
| x | + | 70 | = | 5303 500000 | × | 19200 | + | 5303 500000 | x |
| x | + | 70 | = | 127272 625 | + | 5303 500000 | x |
Transposition :
| x | − | 5303 500000 | x | = | 127272 625 | − | 70 |
Combine the items on the left of the equation:
494697 500000 | x | = | 127272 625 | − | 70 |
Combine the items on the right of the equation:
494697 500000 | x | = | 83522 625 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 83522 625 | ÷ | 494697 500000 |
| = | 83522 625 | × | 500000 494697 |
| = | 83522 | × | 800 494697 |
We obtained :
| x | = | 66817600 494697 |
Convert the result to decimal form :
| x | = | 135.067728 |