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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 (187+x)/(204+x) = 0.978 .
Question type: Equation
Solution:Original question:
| ( | 187 | + | x | ) | ÷ | ( | 204 | + | x | ) | = | 489 500 |
| Multiply both sides of the equation by: | ( | 204 | + | x | ) |
| ( | 187 | + | x | ) | = | 489 500 | ( | 204 | + | x | ) |
| 187 | + | x | = | 489 500 | ( | 204 | + | x | ) |
| 187 | + | x | = | 489 500 | × | 204 | + | 489 500 | x |
| 187 | + | x | = | 24939 125 | + | 489 500 | x |
Transposition :
| x | − | 489 500 | x | = | 24939 125 | − | 187 |
Combine the items on the left of the equation:
11 500 | x | = | 24939 125 | − | 187 |
Combine the items on the right of the equation:
11 500 | x | = | 1564 125 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1564 125 | ÷ | 11 500 |
| = | 1564 125 | × | 500 11 |
| = | 1564 | × | 4 11 |
We obtained :
| x | = | 6256 11 |
Convert the result to decimal form :
| x | = | 568.727273 |