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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 0.732x/(0.732x+0.865(1-x)) = 0.7 .
Question type: Equation
Solution:Original question:
183 250 | x | ÷ | ( | 183 250 | x | + | 173 200 | ( | 1 | − | x | ) | ) | = | 7 10 |
| Multiply both sides of the equation by: | ( | 183 250 | x | + | 173 200 | ( | 1 | − | x | ) | ) |
183 250 | x | = | 7 10 | ( | 183 250 | x | + | 173 200 | ( | 1 | − | x | ) | ) |
183 250 | x | = | 7 10 | × | 183 250 | x | + | 7 10 | × | 173 200 | ( | 1 | − | x | ) |
183 250 | x | = | 1281 2500 | x | + | 1211 2000 | ( | 1 | − | x | ) |
183 250 | x | = | 1281 2500 | x | + | 1211 2000 | × | 1 | − | 1211 2000 | x |
183 250 | x | = | 1281 2500 | x | + | 1211 2000 | − | 1211 2000 | x |
183 250 | x | = | - | 931 10000 | x | + | 1211 2000 |
Transposition :
183 250 | x | + | 931 10000 | x | = | 1211 2000 |
Combine the items on the left of the equation:
8251 10000 | x | = | 1211 2000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1211 2000 | ÷ | 8251 10000 |
| = | 1211 2000 | × | 10000 8251 |
| = | 1211 | × | 5 8251 |
We obtained :
| x | = | 6055 8251 |
Convert the result to decimal form :
| x | = | 0.73385 |