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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 220/3.81+X/7.93 = (X+220)/4.32 .
Question type: Equation
Solution:Original question:
| 220 | ÷ | 381 100 | + | X | ÷ | 793 100 | = | ( | X | + | 220 | ) | ÷ | 108 25 |
| Left side of the equation = | 22000 381 | + | X | × | 100 793 |
22000 381 | + | 100 793 | X | = | ( | X | + | 220 | ) | ÷ | 108 25 |
| Right side of the equation = | X | × | 25 108 | + | 220 | × | 25 108 |
| = | X | × | 25 108 | + | 1375 27 |
22000 381 | + | 100 793 | X | = | 25 108 | X | + | 1375 27 |
Transposition :
100 793 | X | − | 25 108 | X | = | 1375 27 | − | 22000 381 |
Combine the items on the left of the equation:
| - | 9025 85644 | X | = | 1375 27 | − | 22000 381 |
Combine the items on the right of the equation:
| - | 9025 85644 | X | = | - | 23375 3429 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
23375 3429 | = | 9025 85644 | X |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
9025 85644 | X | = | 23375 3429 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 23375 3429 | ÷ | 9025 85644 |
| = | 23375 3429 | × | 85644 9025 |
| = | 935 127 | × | 3172 361 |
We obtained :
| X | = | 2965820 45847 |
Convert the result to decimal form :
| X | = | 64.689511 |