SOLUTION: If the reciprocal of (x-2) is (x+2) what is the greatest possible value of x Express your answer in simplest radical form i dont know how to solve it or what to do i tried quad

Question 550817: If the reciprocal of (x-2) is (x+2) what is the greatest possible value of x
Express your answer in simplest radical form
i dont know how to solve it or what to do i tried quadratics but did not work
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
If the reciprocal of (x-2) is (x+2) what is the greatest possible value of x
Express your answer in simplest radical form
:
Let's just solve for x and see what happens
:
= x + 2
1 = (x+2)(x-2)
1 = x^2 - 2x + 2x - 4
1 = x^2 - 4
0 = x^2 - 4 -1
0 = x^2 - 5
Therefore
x = +/-
the greatest possible value then: x =

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