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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 (498*0.521+x)/(498+x) = 0.6 .
Question type: Equation
Solution:Original question:
| ( | 498 | × | 521 1000 | + | x | ) | ÷ | ( | 498 | + | x | ) | = | 3 5 |
| Multiply both sides of the equation by: | ( | 498 | + | x | ) |
| ( | 498 | × | 521 1000 | + | x | ) | = | 3 5 | ( | 498 | + | x | ) |
| 498 | × | 521 1000 | + | x | = | 3 5 | ( | 498 | + | x | ) |
| 498 | × | 521 1000 | + | x | = | 3 5 | × | 498 | + | 3 5 | x |
129729 500 | + | x | = | 1494 5 | + | 3 5 | x |
Transposition :
| x | − | 3 5 | x | = | 1494 5 | − | 129729 500 |
Combine the items on the left of the equation:
2 5 | x | = | 1494 5 | − | 129729 500 |
Combine the items on the right of the equation:
2 5 | x | = | 19671 500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 19671 500 | ÷ | 2 5 |
| = | 19671 500 | × | 5 2 |
| = | 19671 100 | × | 1 2 |
We obtained :
| x | = | 19671 200 |
Convert the result to decimal form :
| x | = | 98.355 |