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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 0.1 = （0.08*（1/0.7-0.15）*（1-X））/（1-0.08*（1/0.7-0.15）*（1-X）） .
Question type: Equation
Solution:Original question:
1 10 | = | ( | 2 25 | ( | 1 | ÷ | 7 10 | − | 3 20 | ) | ( | 1 | − | X | ) | ) | ÷ | ( | 1 | − | 2 25 | ( | 1 | ÷ | 7 10 | − | 3 20 | ) | ( | 1 | − | X | ) | ) |
| Multiply both sides of the equation by: | ( | 1 | − | 2 25 | ( | 1 | ÷ | 7 10 | − | 3 20 | ) | ( | 1 | − | X | ) | ) |
1 10 | ( | 1 | − | 2 25 | ( | 1 | ÷ | 7 10 | − | 3 20 | ) | ( | 1 | − | X | ) | ) | = | ( | 2 25 | ( | 1 | ÷ | 7 10 | − | 3 20 | ) | ( | 1 | − | X | ) | ) |
1 10 | × | 1 | − | 1 10 | × | 2 25 | ( | 1 | ÷ | 7 10 | − | 3 20 | ) | ( | 1 | − | X | ) | = | ( | 2 25 | ( | 1 | ÷ | 7 10 | − | 3 20 | ) | ( | 1 | − | X | ) | ) |
1 10 | × | 1 | − | 1 10 | × | 2 25 | ( | 1 | ÷ | 7 10 | − | 3 20 | ) | ( | 1 | − | X | ) | = | 2 25 | ( | 1 | ÷ | 7 10 | − | 3 20 | ) | ( | 1 | − | X | ) |
1 10 | − | 1 125 | ( | 1 | ÷ | 7 10 | − | 3 20 | ) | ( | 1 | − | X | ) | = | 2 25 | ( | 1 | ÷ | 7 10 | − | 3 20 | ) | ( | 1 | − | X | ) |
1 10 | − | 1 125 | × | 1 | ÷ | 7 10 | × | ( | 1 | − | X | ) | + | 1 125 | × | 3 20 | ( | 1 | − | X | ) | = | 2 25 | ( | 1 | ÷ | 7 10 | − | 3 20 | ) | ( | 1 | − | X | ) |
1 10 | − | 1 125 | × | 1 | ÷ | 7 10 | × | ( | 1 | − | X | ) | + | 1 125 | × | 3 20 | ( | 1 | − | X | ) | = | 2 25 | × | 1 | ÷ | 7 10 | × | ( | 1 | − | X | ) | − | 2 25 | × | 3 20 | ( | 1 | − | X | ) |
1 10 | − | 2 175 | ( | 1 | − | X | ) | + | 3 2500 | ( | 1 | − | X | ) | = | 4 35 | ( | 1 | − | X | ) | − | 3 250 | ( | 1 | − | X | ) |
1 10 | − | 2 175 | × | 1 | + | 2 175 | X | + | 3 2500 | ( | 1 | − | X | ) | = | 4 35 | ( | 1 | − | X | ) | − | 3 250 | ( | 1 | − | X | ) |
1 10 | − | 2 175 | × | 1 | + | 2 175 | X | + | 3 2500 | ( | 1 | − | X | ) | = | 4 35 | × | 1 | − | 4 35 | X | − | 3 250 | ( | 1 | − | X | ) |
1 10 | − | 2 175 | + | 2 175 | X | + | 3 2500 | ( | 1 | − | X | ) | = | 4 35 | − | 4 35 | X | − | 3 250 | ( | 1 | − | X | ) |
31 350 | + | 2 175 | X | + | 3 2500 | ( | 1 | − | X | ) | = | 4 35 | − | 4 35 | X | − | 3 250 | ( | 1 | − | X | ) |
31 350 | + | 2 175 | X | + | 3 2500 | × | 1 | − | 3 2500 | X | = | 4 35 | − | 4 35 | X | − | 3 250 | ( | 1 | − | X | ) |
31 350 | + | 2 175 | X | + | 3 2500 | × | 1 | − | 3 2500 | X | = | 4 35 | − | 4 35 | X | − | 3 250 | × | 1 | + | 3 250 | X |
31 350 | + | 2 175 | X | + | 3 2500 | − | 3 2500 | X | = | 4 35 | − | 4 35 | X | − | 3 250 | + | 3 250 | X |
1571 17500 | + | 179 17500 | X | = | 179 1750 | − | 179 1750 | X |
Transposition :
179 17500 | X | + | 179 1750 | X | = | 179 1750 | − | 1571 17500 |
Combine the items on the left of the equation:
1969 17500 | X | = | 179 1750 | − | 1571 17500 |
Combine the items on the right of the equation:
1969 17500 | X | = | 219 17500 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 219 17500 | ÷ | 1969 17500 |
| = | 219 17500 | × | 17500 1969 |
| = | 219 | × | 1 1969 |
We obtained :
| X | = | 219 1969 |
Convert the result to decimal form :
| X | = | 0.111224 |