Sum and product of roots question (1 Viewer)

[miracu]

Please help:

For what value of n will one root of the equation (n-2)x^2 + (n+2)x + 2n + 1 = 0 be the reciprocal of the other

 

[DatAtarLyfe]

Lets the roots be alpha and 1/alpha.
Using product of roots, the alphas cancel out and your left with: 1 = 2n +1 / n- 2
Rearranging for n, and you get n = -3