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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/126+(28-X)/111-.052 = 0.1667 .
Question type: Equation
Solution:Original question:
| X | ÷ | 126 | + | ( | 28 | − | X | ) | ÷ | 111 | − | 13 250 | = | 1667 10000 |
| Left side of the equation = | 1 126 | X | + | 28 | × | 1 111 | − | X | × | 1 111 | − | 13 250 |
| = | 1 126 | X | + | 28 111 | − | X | × | 1 111 | − | 13 250 |
| = | - | 5 4662 | X | + | 5557 27750 |
| - | 5 4662 | X | + | 5557 27750 | = | 1667 10000 |
Transposition :
| - | 5 4662 | X | = | 1667 10000 | − | 5557 27750 |
Combine the items on the right of the equation:
| - | 5 4662 | X | = | - | 37243 1110000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
37243 1110000 | = | 5 4662 | 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 :
5 4662 | X | = | 37243 1110000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 37243 1110000 | ÷ | 5 4662 |
| = | 37243 1110000 | × | 4662 5 |
| = | 37243 185000 | × | 777 5 |
We obtained :
| X | = | 28937811 925000 |
By reducing fraction, we can get:
| X | = | 782103 25000 |
Convert the result to decimal form :
| X | = | 31.28412 |