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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 0.804 = 2.5*((2-x)/(4+x)) .
Question type: Equation
Solution:Original question:
201 250 | = | 5 2 | ( | ( | 2 | − | x | ) | ÷ | ( | 4 | + | x | ) | ) |
201 250 | = | 5 2 | ( | 2 | − | x | ) | ÷ | ( | 4 | + | x | ) |
| Multiply both sides of the equation by: | ( | 4 | + | x | ) |
201 250 | ( | 4 | + | x | ) | = | 5 2 | ( | 2 | − | x | ) |
201 250 | × | 4 | + | 201 250 | x | = | 5 2 | ( | 2 | − | x | ) |
201 250 | × | 4 | + | 201 250 | x | = | 5 2 | × | 2 | − | 5 2 | x |
402 125 | + | 201 250 | x | = | 5 | − | 5 2 | x |
Transposition :
201 250 | x | + | 5 2 | x | = | 5 | − | 402 125 |
Combine the items on the left of the equation:
413 125 | x | = | 5 | − | 402 125 |
Combine the items on the right of the equation:
413 125 | x | = | 223 125 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 223 125 | ÷ | 413 125 |
| = | 223 125 | × | 125 413 |
| = | 223 | × | 1 413 |
We obtained :
| x | = | 223 413 |
Convert the result to decimal form :
| x | = | 0.539952 |