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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 11.325+0.8257*(1+x)/(0.1-x)-36 = 0 .
Question type: Equation
Solution:Original question:
453 40 | + | 8257 10000 | ( | 1 | + | x | ) | ÷ | ( | 1 10 | − | x | ) | − | 36 | = | 0 |
| Multiply both sides of the equation by: | ( | 1 10 | − | x | ) |
453 40 | ( | 1 10 | − | x | ) | + | 8257 10000 | ( | 1 | + | x | ) | − | 36 | ( | 1 10 | − | x | ) | = | 0 |
453 40 | × | 1 10 | − | 453 40 | x | + | 8257 10000 | ( | 1 | + | x | ) | − | 36 | ( | 1 10 | − | x | ) | = | 0 |
453 400 | − | 453 40 | x | + | 8257 10000 | ( | 1 | + | x | ) | − | 36 | ( | 1 10 | − | x | ) | = | 0 |
453 400 | − | 453 40 | x | + | 8257 10000 | × | 1 | + | 8257 10000 | x | − | 36 | ( | 1 10 | − | x | ) | = | 0 |
453 400 | − | 453 40 | x | + | 8257 10000 | + | 8257 10000 | x | − | 36 | ( | 1 10 | − | x | ) | = | 0 |
9791 5000 | − | 104993 10000 | x | − | 36 | ( | 1 10 | − | x | ) | = | 0 |
9791 5000 | − | 104993 10000 | x | − | 36 | × | 1 10 | + | 36 | x | = | 0 |
9791 5000 | − | 104993 10000 | x | − | 18 5 | + | 36 | x | = | 0 |
| - | 8209 5000 | + | 255007 10000 | x | = | 0 |
Transposition :
255007 10000 | x | = | 0 | + | 8209 5000 |
Combine the items on the right of the equation:
255007 10000 | x | = | 8209 5000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 8209 5000 | ÷ | 255007 10000 |
| = | 8209 5000 | × | 10000 255007 |
| = | 8209 | × | 2 255007 |
We obtained :
| x | = | 16418 255007 |
Convert the result to decimal form :
| x | = | 0.064383 |