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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*0.492）+0.97X = (350+X)/1.05*0.502 .
Question type: Equation
Solution:Original question:
| ( | 350 | ÷ | 21 20 | × | 123 250 | ) | + | 97 100 | X | = | ( | 350 | + | X | ) | ÷ | 21 20 | × | 251 500 |
| Left side of the equation = | 350 | ÷ | 21 20 | × | 123 250 | + | 97 100 | X |
| = | 164 | + | 97 100 | X |
| 164 | + | 97 100 | X | = | ( | 350 | + | X | ) | ÷ | 21 20 | × | 251 500 |
| Right side of the equation = | ( | 350 | + | X | ) | × | 251 525 |
| 164 | + | 97 100 | X | = | ( | 350 | + | X | ) | × | 251 525 |
| Right side of the equation = | 350 | × | 251 525 | + | X | × | 251 525 |
| = | 502 3 | + | X | × | 251 525 |
| 164 | + | 97 100 | X | = | 502 3 | + | 251 525 | X |
Transposition :
97 100 | X | − | 251 525 | X | = | 502 3 | − | 164 |
Combine the items on the left of the equation:
1033 2100 | X | = | 502 3 | − | 164 |
Combine the items on the right of the equation:
1033 2100 | X | = | 10 3 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 10 3 | ÷ | 1033 2100 |
| = | 10 3 | × | 2100 1033 |
| = | 10 | × | 700 1033 |
We obtained :
| X | = | 7000 1033 |
Convert the result to decimal form :
| X | = | 6.776379 |