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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 12*109.98/(109.98+x) = 11.43 .
Question type: Equation
Solution:Original question:
| 12 | × | 5499 50 | ÷ | ( | 5499 50 | + | x | ) | = | 1143 100 |
| Multiply both sides of the equation by: | ( | 5499 50 | + | x | ) |
| 12 | × | 5499 50 | = | 1143 100 | ( | 5499 50 | + | x | ) |
| 12 | × | 5499 50 | = | 1143 100 | × | 5499 50 | + | 1143 100 | x |
32994 25 | = | 6285357 5000 | + | 1143 100 | x |
Transposition :
| - | 1143 100 | x | = | 6285357 5000 | − | 32994 25 |
Combine the items on the right of the equation:
| - | 1143 100 | x | = | - | 313443 5000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
313443 5000 | = | 1143 100 | 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 :
1143 100 | x | = | 313443 5000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 313443 5000 | ÷ | 1143 100 |
| = | 313443 5000 | × | 100 1143 |
| = | 34827 50 | × | 1 127 |
We obtained :
| x | = | 34827 6350 |
Convert the result to decimal form :
| x | = | 5.484567 |