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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 9.5/(36+0.483+0.450+0.45+x) = 2.5/(10-0.483-0.45-0.450-x) .
Question type: Equation
Solution:Original question:
19 2 | ÷ | ( | 36 | + | 483 1000 | + | 9 20 | + | 9 20 | + | x | ) | = | 5 2 | ÷ | ( | 10 | − | 483 1000 | − | 9 20 | − | 9 20 | − | x | ) |
| Multiply both sides of the equation by: | ( | 36 | + | 483 1000 | + | 9 20 | + | 9 20 | + | x | ) | , | ( | 10 | − | 483 1000 | − | 9 20 | − | 9 20 | − | x | ) |
19 2 | ( | 10 | − | 483 1000 | − | 9 20 | − | 9 20 | − | x | ) | = | 5 2 | ( | 36 | + | 483 1000 | + | 9 20 | + | 9 20 | + | x | ) |
19 2 | × | 10 | − | 19 2 | × | 483 1000 | − | 19 2 | × | 9 20 | − | 19 2 | × | 9 20 | − | 19 2 | x | = | 5 2 | ( | 36 | + | 483 1000 | + | 9 20 | + | 9 20 | + | x | ) |
19 2 | × | 10 | − | 19 2 | × | 483 1000 | − | 19 2 | × | 9 20 | − | 19 2 | × | 9 20 | − | 19 2 | x | = | 5 2 | × | 36 | + | 5 2 | × | 483 1000 | + | 5 2 | × | 9 20 | + | 5 2 | × | 9 20 | + | 5 2 | x |
| 95 | − | 9177 2000 | − | 171 40 | − | 171 40 | − | 19 2 | x | = | 90 | + | 483 400 | + | 9 8 | + | 9 8 | + | 5 2 | x |
163723 2000 | − | 19 2 | x | = | 37383 400 | + | 5 2 | x |
Transposition :
| - | 19 2 | x | − | 5 2 | x | = | 37383 400 | − | 163723 2000 |
Combine the items on the left of the equation:
| - | 12 | x | = | 37383 400 | − | 163723 2000 |
Combine the items on the right of the equation:
| - | 12 | x | = | 2899 250 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 2899 250 | = | 12 | 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 :
| 12 | x | = | - | 2899 250 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 2899 250 | ÷ | 12 |
| = | - | 2899 250 | × | 1 12 |
We obtained :
| x | = | - | 2899 3000 |
Convert the result to decimal form :
| x | = | - 0.966333 |