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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 X/202 = (5-X)/46629+(3.3-X)/9900 .
Question type: Equation
Solution:Original question:
| X | ÷ | 202 | = | ( | 5 | − | X | ) | ÷ | 46629 | + | ( | 33 10 | − | X | ) | ÷ | 9900 |
| Right side of the equation = | 5 | × | 1 46629 | − | X | × | 1 46629 | + | ( | 33 10 | − | X | ) | × | 1 9900 |
| = | 5 46629 | − | X | × | 1 46629 | + | ( | 33 10 | − | X | ) | × | 1 9900 |
| = | 5 46629 | − | 1 46629 | X | + | 33 10 | × | 1 9900 | − | X | × | 1 9900 |
| = | 5 46629 | − | 1 46629 | X | + | 1 3000 | − | X | × | 1 9900 |
| = | 20543 46629000 | − | 571 4662900 | X |
1 202 | X | = | 20543 46629000 | − | 571 4662900 | X |
Transposition :
1 202 | X | + | 571 4662900 | X | = | 20543 46629000 |
Combine the items on the left of the equation:
2389121 470952900 | X | = | 20543 46629000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 20543 46629000 | ÷ | 2389121 470952900 |
| = | 20543 46629000 | × | 470952900 2389121 |
| = | 20543 1570 | × | 15857 2389121 |
We obtained :
| X | = | 325750351 3750919970 |
By reducing fraction, we can get:
| X | = | 2074843 23891210 |
Convert the result to decimal form :
| X | = | 0.086845 |