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 (1-0.8x/(0.8x+13800))/(1-x/(x+13800)) = 1.314 .
Question type: Equation
Solution:Original question:
| ( | 1 | − | 4 5 | x | ÷ | ( | 4 5 | x | + | 13800 | ) | ) | ÷ | ( | 1 | − | x | ÷ | ( | x | + | 13800 | ) | ) | = | 657 500 |
| Multiply both sides of the equation by: | ( | 1 | − | x | ÷ | ( | x | + | 13800 | ) | ) |
| ( | 1 | − | 4 5 | x | ÷ | ( | 4 5 | x | + | 13800 | ) | ) | = | 657 500 | ( | 1 | − | x | ÷ | ( | x | + | 13800 | ) | ) |
| 1 | − | 4 5 | x | ÷ | ( | 4 5 | x | + | 13800 | ) | = | 657 500 | ( | 1 | − | x | ÷ | ( | x | + | 13800 | ) | ) |
| 1 | − | 4 5 | x | ÷ | ( | 4 5 | x | + | 13800 | ) | = | 657 500 | × | 1 | − | 657 500 | x | ÷ | ( | x | + | 13800 | ) |
| 1 | − | 4 5 | x | ÷ | ( | 4 5 | x | + | 13800 | ) | = | 657 500 | − | 657 500 | x | ÷ | ( | x | + | 13800 | ) |
| Multiply both sides of the equation by: | ( | 4 5 | x | + | 13800 | ) | , | ( | x | + | 13800 | ) |
| 1 | ( | 4 5 | x | + | 13800 | ) | ( | x | + | 13800 | ) | − | 4 5 | x | ( | x | + | 13800 | ) | = | 657 500 | ( | 4 5 | x | + | 13800 | ) | ( | x | + | 13800 | ) | − | 657 500 | x | ( | 4 5 | x | + | 13800 | ) |
| 1 | × | 4 5 | x | ( | x | + | 13800 | ) | + | 1 | × | 13800 | ( | x | + | 13800 | ) | − | 4 5 | x | ( | x | + | 13800 | ) | = | 657 500 | ( | 4 5 | x | + | 13800 | ) | ( | x | + | 13800 | ) | − | 657 500 | x | ( | 4 5 | x | + | 13800 | ) |
| 1 | × | 4 5 | x | ( | x | + | 13800 | ) | + | 1 | × | 13800 | ( | x | + | 13800 | ) | − | 4 5 | x | ( | x | + | 13800 | ) | = | 657 500 | × | 4 5 | x | ( | x | + | 13800 | ) | + | 657 500 | × | 13800 | ( | x | + | 13800 | ) | − | 657 500 | x | ( | 4 5 | x | + | 13800 | ) |
4 5 | x | ( | x | + | 13800 | ) | + | 13800 | ( | x | + | 13800 | ) | − | 4 5 | x | ( | x | + | 13800 | ) | = | 657 625 | x | ( | x | + | 13800 | ) | + | 90666 5 | ( | x | + | 13800 | ) | − | 657 500 | x | ( | 4 5 | x | + | 13800 | ) |
4 5 | x | x | + | 4 5 | x | × | 13800 | + | 13800 | ( | x | + | 13800 | ) | − | 4 5 | x | ( | x | + | 13800 | ) | = | 657 625 | x | ( | x | + | 13800 | ) | + | 90666 5 | ( | x | + | 13800 | ) | − | 657 500 | x | ( | 4 5 | x | + | 13800 | ) |
4 5 | x | x | + | 4 5 | x | × | 13800 | + | 13800 | ( | x | + | 13800 | ) | − | 4 5 | x | ( | x | + | 13800 | ) | = | 657 625 | x | x | + | 657 625 | x | × | 13800 | + | 90666 5 | ( | x | + | 13800 | ) | − | 657 500 | x | ( | 4 5 | x | + | 13800 | ) |
4 5 | x | x | + | 11040 | x | + | 13800 | ( | x | + | 13800 | ) | − | 4 5 | x | ( | x | + | 13800 | ) | = | 657 625 | x | x | + | 362664 25 | x | + | 90666 5 | ( | x | + | 13800 | ) | − | 657 500 | x | ( | 4 5 | x | + | 13800 | ) |
4 5 | x | x | + | 11040 | x | + | 13800 | x | + | 13800 | × | 13800 | − | 4 5 | x | ( | x | + | 13800 | ) | = | 657 625 | x | x | + | 362664 25 | x | + | 90666 5 | ( | x | + | 13800 | ) | − | 657 500 | x | ( | 4 5 | x | + | 13800 | ) |
4 5 | x | x | + | 11040 | x | + | 13800 | x | + | 13800 | × | 13800 | − | 4 5 | x | ( | x | + | 13800 | ) | = | 657 625 | x | x | + | 362664 25 | x | + | 90666 5 | x | + | 90666 5 | × | 13800 | − | 657 500 | x | ( | 4 5 | x | + | 13800 | ) |
4 5 | x | x | + | 11040 | x | + | 13800 | x | + | 190440000 | − | 4 5 | x | ( | x | + | 13800 | ) | = | 657 625 | x | x | + | 362664 25 | x | + | 90666 5 | x | + | 250238160 | − | 657 500 | x | ( | 4 5 | x | + | 13800 | ) |
4 5 | x | x | + | 24840 | x | + | 190440000 | − | 4 5 | x | ( | x | + | 13800 | ) | = | 657 625 | x | x | + | 815994 25 | x | + | 250238160 | − | 657 500 | x | ( | 4 5 | x | + | 13800 | ) |
4 5 | x | x | + | 24840 | x | + | 190440000 | − | 4 5 | x | x | − | 4 5 | x | × | 13800 | = | 657 625 | x | x | + | 815994 25 | x | + | 250238160 | − | 657 500 | x | ( | 4 5 | x | + | 13800 | ) |
4 5 | x | x | + | 24840 | x | + | 190440000 | − | 4 5 | x | x | − | 4 5 | x | × | 13800 | = | 657 625 | x | x | + | 815994 25 | x | + | 250238160 | − | 657 500 | x | × | 4 5 | x | − | 657 500 | x |
4 5 | x | x | + | 24840 | x | + | 190440000 | − | 4 5 | x | x | − | 11040 | x | = | 657 625 | x | x | + | 815994 25 | x | + | 250238160 | − | 657 625 | x | x | − | 90666 5 | x |
4 5 | x | x | + | 13800 | x | + | 190440000 | − | 4 5 | x | x | = | 657 625 | x | x | + | 362664 25 | x | + | 250238160 | − | 657 625 | x | x |