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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 11.64/x = (1105.67-109.57)/(x+1) .
Question type: Equation
Solution:Original question:
291 25 | ÷ | x | = | ( | 110567 100 | − | 10957 100 | ) | ÷ | ( | x | + | 1 | ) |
| Multiply both sides of the equation by: | x | , | ( | x | + | 1 | ) |
291 25 | ( | x | + | 1 | ) | = | ( | 110567 100 | − | 10957 100 | ) | x |
291 25 | x | + | 291 25 | × | 1 | = | ( | 110567 100 | − | 10957 100 | ) | x |
291 25 | x | + | 291 25 | × | 1 | = | 110567 100 | x | − | 10957 100 | x |
291 25 | x | + | 291 25 | = | 110567 100 | x | − | 10957 100 | x |
291 25 | x | + | 291 25 | = | 9961 10 | x |
Transposition :
291 25 | x | − | 9961 10 | x | = | - | 291 25 |
Combine the items on the left of the equation:
| - | 49223 50 | x | = | - | 291 25 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
291 25 | = | 49223 50 | 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 :
49223 50 | x | = | 291 25 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 291 25 | ÷ | 49223 50 |
| = | 291 25 | × | 50 49223 |
| = | 291 | × | 2 49223 |
We obtained :
| x | = | 582 49223 |
Convert the result to decimal form :
| x | = | 0.011824 |