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 56x*（1+13%）-580-40x-（56x*13%-5x）-12%*（56x*13%-5x） = 0 .
Question type: Equation
Solution:Original question:
| 56 | x | ( | 1 | + | 13 100 | ) | − | 580 | − | 40 | x | − | ( | 56 | x | × | 13 100 | − | 5 | x | ) | − | 12 100 | ( | 56 | x | × | 13 100 | − | 5 | x | ) | = | 0 |
| Left side of the equation = | 56 | x | × | 1 | + | 56 | x | × | 13 100 | − | 580 | − | 40 | x | − | ( | 56 | x | × | 13 100 | − | 5 | x | ) | − | 12 100 | ( | 56 | x | × | 13 100 | − | 5 | x | ) |
| = | 56 | x | + | 182 25 | x | − | 580 | − | 40 | x | − | ( | 56 | x | × | 13 100 | − | 5 | x | ) | − | 12 100 | ( | 56 | x | × | 13 100 | − | 5 | x | ) |
| = | 582 25 | x | − | 580 | − | ( | 56 | x | × | 13 100 | − | 5 | x | ) | − | 12 100 | ( | 56 | x | × | 13 100 | − | 5 | x | ) |
| = | 582 25 | x | − | 580 | − | 56 | x | × | 13 100 | + | 5 | x | − | 12 100 | ( | 56 | x | × | 13 100 | − | 5 | x | ) |
| = | 582 25 | x | − | 580 | − | 182 25 | x | + | 5 | x | − | 12 100 | ( | 56 | x | × | 13 100 | − | 5 | x | ) |
| = | 21 | x | − | 580 | − | 12 100 | ( | 56 | x | × | 13 100 | − | 5 | x | ) |
| = | 21 | x | − | 580 | − | 12 100 | × | 56 | x | × | 13 100 | + | 12 100 | × | 5 | x |
| = | 21 | x | − | 580 | − | 546 625 | x | + | 3 5 | x |
| = | 12954 625 | x | − | 580 |
12954 625 | x | − | 580 | = | 0 |
Transposition :
12954 625 | x | = | 0 | + | 580 |
Combine the items on the right of the equation:
12954 625 | x | = | 580 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 580 | ÷ | 12954 625 |
| = | 580 | × | 625 12954 |
| = | 290 | × | 625 6477 |
We obtained :
| x | = | 181250 6477 |
Convert the result to decimal form :
| x | = | 27.983634 |