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-x*0.0102-((x/0.92-1.02*x)-((x/0.92-1.02*x)-(x/0.92-1.02*x)/11)) = 30589.54 .
Question type: Equation
Solution:Original question:
| x | − | x | × | 51 5000 | − | ( | ( | x | ÷ | 23 25 | − | 51 50 | x | ) | − | ( | ( | x | ÷ | 23 25 | − | 51 50 | x | ) | − | ( | x | ÷ | 23 25 | − | 51 50 | x | ) | ÷ | 11 | ) | ) | = | 1529477 50 |
| Left side of the equation = | 4949 5000 | x | − | ( | ( | x | ÷ | 23 25 | − | 51 50 | x | ) | − | ( | ( | x | ÷ | 23 25 | − | 51 50 | x | ) | − | ( | x | ÷ | 23 25 | − | 51 50 | x | ) | ÷ | 11 | ) | ) |
4949 5000 | x | − | ( | ( | x | ÷ | 23 25 | − | 51 50 | x | ) | − | ( | ( | x | ÷ | 23 25 | − | 51 50 | x | ) | − | ( | x | ÷ | 23 25 | − | 51 50 | x | ) | ÷ | 11 | ) | ) | = | 1529477 50 |
| Left side of the equation = | 4949 5000 | x | − | ( | x | ÷ | 23 25 | − | 51 50 | x | ) | + | ( | ( | x | ÷ | 23 25 | − | 51 50 | x | ) | − | ( | x | ÷ | 23 25 | − | 51 50 | x | ) | ÷ | 11 | ) |
| = | 4949 5000 | x | − | x | ÷ | 23 25 | + | 51 50 | x | + | ( | ( | x | ÷ | 23 25 | − | 51 50 | x | ) | − | ( | x | ÷ | 23 25 | − | 51 50 | x | ) | ÷ | 11 | ) |
| = | 106127 115000 | x | + | ( | ( | x | ÷ | 23 25 | − | 51 50 | x | ) | − | ( | x | ÷ | 23 25 | − | 51 50 | x | ) | ÷ | 11 | ) |
| = | 106127 115000 | x | + | ( | x | ÷ | 23 25 | − | 51 50 | x | ) | − | ( | x | ÷ | 23 25 | − | 51 50 | x | ) | ÷ | 11 |
| = | 106127 115000 | x | + | x | ÷ | 23 25 | − | 51 50 | x | − | ( | x | ÷ | 23 25 | − | 51 50 | x | ) | × | 1 11 |
| = | 4949 5000 | x | − | ( | x | ÷ | 23 25 | − | 51 50 | x | ) | × | 1 11 |
| = | 4949 5000 | x | − | x | ÷ | 23 25 | × | 1 11 | + | 51 50 | x | × | 1 11 |
| = | 4949 5000 | x | − | x | × | 25 253 | + | 51 550 | x |
| = | 113127 115000 | x |
113127 115000 | x | = | 1529477 50 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1529477 50 | ÷ | 113127 115000 |
| = | 1529477 50 | × | 115000 113127 |
| = | 1529477 | × | 2300 113127 |
We obtained :
| x | = | 3517797100 113127 |
Convert the result to decimal form :
| x | = | 31095.999187 |