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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 x/1.125/(x/1.125+(1-x)/1.59) = 0.744 .
Question type: Equation
Solution:Original question:
| x | ÷ | 9 8 | ÷ | ( | x | ÷ | 9 8 | + | ( | 1 | − | x | ) | ÷ | 159 100 | ) | = | 93 125 |
| Multiply both sides of the equation by: | ( | x | ÷ | 9 8 | + | ( | 1 | − | x | ) | ÷ | 159 100 | ) |
| x | ÷ | 9 8 | = | 93 125 | ( | x | ÷ | 9 8 | + | ( | 1 | − | x | ) | ÷ | 159 100 | ) |
| x | ÷ | 9 8 | = | 93 125 | x | ÷ | 9 8 | + | 93 125 | ( | 1 | − | x | ) | ÷ | 159 100 |
| x | × | 8 9 | = | 248 375 | x | + | 124 265 | ( | 1 | − | x | ) |
8 9 | x | = | 248 375 | x | + | 124 265 | × | 1 | − | 124 265 | x |
8 9 | x | = | 248 375 | x | + | 124 265 | − | 124 265 | x |
8 9 | x | = | 3844 19875 | x | + | 124 265 |
Transposition :
8 9 | x | − | 3844 19875 | x | = | 124 265 |
Combine the items on the left of the equation:
41468 59625 | x | = | 124 265 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 124 265 | ÷ | 41468 59625 |
| = | 124 265 | × | 59625 41468 |
| = | 31 | × | 225 10367 |
We obtained :
| x | = | 6975 10367 |
Convert the result to decimal form :
| x | = | 0.672808 |