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 [(7x-467.56)+88.2+183.36-(7x-467.56)*0.25]/(260+88.2) = 1 .
Question type: Equation
Solution:Original question:
| ( | ( | 7 | x | − | 11689 25 | ) | + | 441 5 | + | 4584 25 | − | ( | 7 | x | − | 11689 25 | ) | × | 1 4 | ) | ÷ | ( | 260 | + | 441 5 | ) | = | 1 |
| Multiply both sides of the equation by: | ( | 260 | + | 441 5 | ) |
| ( | ( | 7 | x | − | 11689 25 | ) | + | 441 5 | + | 4584 25 | − | ( | 7 | x | − | 11689 25 | ) | × | 1 4 | ) | = | 1 | ( | 260 | + | 441 5 | ) |
| ( | 7 | x | − | 11689 25 | ) | + | 441 5 | + | 4584 25 | − | ( | 7 | x | − | 11689 25 | ) | × | 1 4 | = | 1 | ( | 260 | + | 441 5 | ) |
| ( | 7 | x | − | 11689 25 | ) | + | 441 5 | + | 4584 25 | − | ( | 7 | x | − | 11689 25 | ) | × | 1 4 | = | 1 | × | 260 | + | 1 | × | 441 5 |
| ( | 7 | x | − | 11689 25 | ) | + | 441 5 | + | 4584 25 | − | ( | 7 | x | − | 11689 25 | ) | × | 1 4 | = | 260 | + | 441 5 |
| ( | 7 | x | − | 11689 25 | ) | + | 6789 25 | − | ( | 7 | x | − | 11689 25 | ) | × | 1 4 | = | 1741 5 |
| 7 | x | − | 11689 25 | + | 6789 25 | − | ( | 7 | x | − | 11689 25 | ) | × | 1 4 | = | 1741 5 |
| 7 | x | − | 196 | − | ( | 7 | x | − | 11689 25 | ) | × | 1 4 | = | 1741 5 |
| 7 | x | − | 196 | − | 7 | x | × | 1 4 | + | 11689 25 | × | 1 4 | = | 1741 5 |
| 7 | x | − | 196 | − | 7 4 | x | + | 11689 100 | = | 1741 5 |
21 4 | x | − | 7911 100 | = | 1741 5 |
Transposition :
21 4 | x | = | 1741 5 | + | 7911 100 |
Combine the items on the right of the equation:
21 4 | x | = | 42731 100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 42731 100 | ÷ | 21 4 |
| = | 42731 100 | × | 4 21 |
| = | 42731 25 | × | 1 21 |
We obtained :
| x | = | 42731 525 |
Convert the result to decimal form :
| x | = | 81.392381 |