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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 1.81/1.9 = （29.1+x）/（39.1+x） .
Question type: Equation
Solution:Original question:
181 100 | ÷ | 19 10 | = | ( | 291 10 | + | x | ) | ÷ | ( | 391 10 | + | x | ) |
| Multiply both sides of the equation by: | ( | 391 10 | + | x | ) |
181 100 | ÷ | 19 10 | × | ( | 391 10 | + | x | ) | = | ( | 291 10 | + | x | ) |
181 100 | ÷ | 19 10 | × | 391 10 | + | 181 100 | ÷ | 19 10 | × | x | = | ( | 291 10 | + | x | ) |
181 100 | ÷ | 19 10 | × | 391 10 | + | 181 100 | ÷ | 19 10 | × | x | = | 291 10 | + | x |
70771 1900 | + | 181 190 | x | = | 291 10 | + | x |
Transposition :
181 190 | x | − | x | = | 291 10 | − | 70771 1900 |
Combine the items on the left of the equation:
| - | 9 190 | x | = | 291 10 | − | 70771 1900 |
Combine the items on the right of the equation:
| - | 9 190 | x | = | - | 15481 1900 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
15481 1900 | = | 9 190 | 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 :
9 190 | x | = | 15481 1900 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 15481 1900 | ÷ | 9 190 |
| = | 15481 1900 | × | 190 9 |
| = | 15481 10 | × | 1 9 |
We obtained :
| x | = | 15481 90 |
Convert the result to decimal form :
| x | = | 172.011111 |