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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 (8000-5214.84)/(5214.84-5000) = (3.25-x)/(x-3.15) .
Question type: Equation
Solution:Original question:
| ( | 8000 | − | 130371 25 | ) | ÷ | ( | 130371 25 | − | 5000 | ) | = | ( | 13 4 | − | x | ) | ÷ | ( | x | − | 63 20 | ) |
| Multiply both sides of the equation by: | ( | 130371 25 | − | 5000 | ) | , | ( | x | − | 63 20 | ) |
| ( | 8000 | − | 130371 25 | ) | ( | x | − | 63 20 | ) | = | ( | 13 4 | − | x | ) | ( | 130371 25 | − | 5000 | ) |
| 8000 | ( | x | − | 63 20 | ) | − | 130371 25 | ( | x | − | 63 20 | ) | = | ( | 13 4 | − | x | ) | ( | 130371 25 | − | 5000 | ) |
| 8000 | ( | x | − | 63 20 | ) | − | 130371 25 | ( | x | − | 63 20 | ) | = | 13 4 | ( | 130371 25 | − | 5000 | ) | − | x | ( | 130371 25 | − | 5000 | ) |
| 8000 | x | − | 8000 | × | 63 20 | − | 130371 25 | ( | x | − | 63 20 | ) | = | 13 4 | ( | 130371 25 | − | 5000 | ) | − | x | ( | 130371 25 | − | 5000 | ) |
| 8000 | x | − | 8000 | × | 63 20 | − | 130371 25 | ( | x | − | 63 20 | ) | = | 13 4 | × | 130371 25 | − | 13 4 | × | 5000 | − | x | ( | 130371 25 | − | 5000 | ) |
| 8000 | x | − | 25200 | − | 130371 25 | ( | x | − | 63 20 | ) | = | 1694823 100 | − | 16250 | − | x | ( | 130371 25 | − | 5000 | ) |
| 8000 | x | − | 25200 | − | 130371 25 | ( | x | − | 63 20 | ) | = | 69823 100 | − | x | ( | 130371 25 | − | 5000 | ) |
| 8000 | x | − | 25200 | − | 130371 25 | x | + | 130371 25 | × | 63 20 | = | 69823 100 | − | x | ( | 130371 25 | − | 5000 | ) |
| 8000 | x | − | 25200 | − | 130371 25 | x | + | 130371 25 | × | 63 20 | = | 69823 100 | − | x | × | 130371 25 | + | x | × | 5000 |
| 8000 | x | − | 25200 | − | 130371 25 | x | + | 8213373 500 | = | 69823 100 | − | x | × | 130371 25 | + | x | × | 5000 |
69629 25 | x | − | 4386627 500 | = | 69823 100 | − | 5371 25 | x |
Transposition :
69629 25 | x | + | 5371 25 | x | = | 69823 100 | + | 4386627 500 |
Combine the items on the left of the equation:
| 3000 | x | = | 69823 100 | + | 4386627 500 |
Combine the items on the right of the equation:
| 3000 | x | = | 2367871 250 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 2367871 250 | ÷ | 3000 |
| = | 2367871 250 | × | 1 3000 |
We obtained :
| x | = | 2367871 750000 |
Convert the result to decimal form :
| x | = | 3.157161 |