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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 （350/1.05*0.4822）+0.97X = (350+X)/1.05*0.502 .
Question type: Equation
Solution:Original question:
| ( | 350 | ÷ | 21 20 | × | 2411 5000 | ) | + | 97 100 | X | = | ( | 350 | + | X | ) | ÷ | 21 20 | × | 251 500 |
| Left side of the equation = | 350 | ÷ | 21 20 | × | 2411 5000 | + | 97 100 | X |
| = | 2411 15 | + | 97 100 | X |
2411 15 | + | 97 100 | X | = | ( | 350 | + | X | ) | ÷ | 21 20 | × | 251 500 |
| Right side of the equation = | ( | 350 | + | X | ) | × | 251 525 |
2411 15 | + | 97 100 | X | = | ( | 350 | + | X | ) | × | 251 525 |
| Right side of the equation = | 350 | × | 251 525 | + | X | × | 251 525 |
| = | 502 3 | + | X | × | 251 525 |
2411 15 | + | 97 100 | X | = | 502 3 | + | 251 525 | X |
Transposition :
97 100 | X | − | 251 525 | X | = | 502 3 | − | 2411 15 |
Combine the items on the left of the equation:
1033 2100 | X | = | 502 3 | − | 2411 15 |
Combine the items on the right of the equation:
1033 2100 | X | = | 33 5 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 33 5 | ÷ | 1033 2100 |
| = | 33 5 | × | 2100 1033 |
| = | 33 | × | 420 1033 |
We obtained :
| X | = | 13860 1033 |
Convert the result to decimal form :
| X | = | 13.417231 |