Equations
Fold
Math OP
Unfold
Linear algebra
Unfold
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/126-20/277-(75-X)/500 = 0.247 .
Question type: Equation
Solution:Original question:
| X | ÷ | 126 | − | 20 | ÷ | 277 | − | ( | 75 | − | X | ) | ÷ | 500 | = | 247 1000 |
| Left side of the equation = | X | × | 1 126 | − | 20 277 | − | ( | 75 | − | X | ) | × | 1 500 |
1 126 | X | − | 20 277 | − | ( | 75 | − | X | ) | × | 1 500 | = | 247 1000 |
| Left side of the equation = | 1 126 | X | − | 20 277 | − | 75 | × | 1 500 | + | X | × | 1 500 |
| = | 1 126 | X | − | 20 277 | − | 3 20 | + | X | × | 1 500 |
| = | 313 31500 | X | − | 1231 5540 |
313 31500 | X | − | 1231 5540 | = | 247 1000 |
Transposition :
313 31500 | X | = | 247 1000 | + | 1231 5540 |
Combine the items on the right of the equation:
313 31500 | X | = | 129969 277000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 129969 277000 | ÷ | 313 31500 |
| = | 129969 277000 | × | 31500 313 |
| = | 129969 554 | × | 63 313 |
We obtained :
| X | = | 8188047 173402 |
Convert the result to decimal form :
| X | = | 47.220026 |