Answer:
x = -5/2
Explanation:
Given
(2x+1)/(x-2) + 4/x= -8/(x^2-2x)
Find
x
Solution
We note that the denominators in this equation are x and x-2. The solution set must exclude these values, as the equation is "undefined" for those values of x.
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Multiply by x(x-2)
x(2x+1) +4(x-2) = -8
2x² +5x = 0 . . . . . . . . . . add 8, eliminate parentheses
x(2x +5) = 0
The solutions are the values of x that make these factors zero:
x = 0 . . . . must be excluded
x = -5/2
The solution to the equation is x = -5/2.
