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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 (362*0.514+x)/(362+x) = 0.6 .
Question type: Equation
Solution:Original question:
Remove a bracket on the left of the equation:：
Remove a bracket on the right of the equation:：
The equation is reduced to :
Transposition :
Combine the items on the left of the equation:
Combine the items on the right of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation (362*0.514+x)/(362+x) = 0.6 .
Question type: Equation
Solution:Original question:
| ( | 362 | × | 257 500 | + | x | ) | ÷ | ( | 362 | + | x | ) | = | 3 5 |
| Multiply both sides of the equation by: | ( | 362 | + | x | ) |
| ( | 362 | × | 257 500 | + | x | ) | = | 3 5 | ( | 362 | + | x | ) |
| 362 | × | 257 500 | + | x | = | 3 5 | ( | 362 | + | x | ) |
| 362 | × | 257 500 | + | x | = | 3 5 | × | 362 | + | 3 5 | x |
46517 250 | + | x | = | 1086 5 | + | 3 5 | x |
Transposition :
| x | − | 3 5 | x | = | 1086 5 | − | 46517 250 |
Combine the items on the left of the equation:
2 5 | x | = | 1086 5 | − | 46517 250 |
Combine the items on the right of the equation:
2 5 | x | = | 7783 250 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 7783 250 | ÷ | 2 5 |
| = | 7783 250 | × | 5 2 |
| = | 7783 50 | × | 1 2 |
We obtained :
| x | = | 7783 100 |
Convert the result to decimal form :
| x | = | 77.83 |