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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 （825+x）/（873+x） = 0.9684 .
Question type: Equation
Solution:Original question:
| ( | 825 | + | x | ) | ÷ | ( | 873 | + | x | ) | = | 2421 2500 |
| Multiply both sides of the equation by: | ( | 873 | + | x | ) |
| ( | 825 | + | x | ) | = | 2421 2500 | ( | 873 | + | x | ) |
| 825 | + | x | = | 2421 2500 | ( | 873 | + | x | ) |
| 825 | + | x | = | 2421 2500 | × | 873 | + | 2421 2500 | x |
| 825 | + | x | = | 2113533 2500 | + | 2421 2500 | x |
Transposition :
| x | − | 2421 2500 | x | = | 2113533 2500 | − | 825 |
Combine the items on the left of the equation:
79 2500 | x | = | 2113533 2500 | − | 825 |
Combine the items on the right of the equation:
79 2500 | x | = | 51033 2500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 51033 2500 | ÷ | 79 2500 |
| = | 51033 2500 | × | 2500 79 |
| = | 51033 | × | 1 79 |
We obtained :
| x | = | 51033 79 |
Convert the result to decimal form :
| x | = | 645.987342 |