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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 (40+x)/(20+x) = 182.96/105.6 .
Question type: Equation
Solution:Original question:
| ( | 40 | + | x | ) | ÷ | ( | 20 | + | x | ) | = | 4574 25 | ÷ | 528 5 |
| Multiply both sides of the equation by: | ( | 20 | + | x | ) |
| ( | 40 | + | x | ) | = | 4574 25 | ÷ | 528 5 | × | ( | 20 | + | x | ) |
| 40 | + | x | = | 4574 25 | ÷ | 528 5 | × | ( | 20 | + | x | ) |
| 40 | + | x | = | 4574 25 | ÷ | 528 5 | × | 20 | + | 4574 25 | ÷ | 528 5 | × | x |
| 40 | + | x | = | 2287 66 | + | 2287 1320 | x |
Transposition :
| x | − | 2287 1320 | x | = | 2287 66 | − | 40 |
Combine the items on the left of the equation:
| - | 967 1320 | x | = | 2287 66 | − | 40 |
Combine the items on the right of the equation:
| - | 967 1320 | x | = | - | 353 66 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
353 66 | = | 967 1320 | 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 :
967 1320 | x | = | 353 66 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 353 66 | ÷ | 967 1320 |
| = | 353 66 | × | 1320 967 |
| = | 353 | × | 20 967 |
We obtained :
| x | = | 7060 967 |
Convert the result to decimal form :
| x | = | 7.300931 |