posted by Shay on .
Express your answer in simplest radical form.
What is radical form ne how?
Multiply both sides by x(x+2):
x(x+2) - 2(x+2) = 2x
Note that we cannot allow x to be 0 or minus two because for these values the original equation is not defined. The left hand side is:
x(x+2) - 2(x+2).
Factor out the term (x + 2):
x(x+2) - 2(x+2) = (x-2)(x+2) = x^2 - 4
If you now bring the term 2x from the right hand side to the left you get the equation:
x^2 - 2x - 4 = 0 --->
x = 1 +/- sqrt