(k-2)x^2=4x+(k+2) find its discriminate?

(k-2)x^2=4x+(k+2)

(k-2)x^2 - 4x - (k+2) = 0
so the discriminant is
(-4)^2 + 4(k-2)(k+2) = 16 + 4(k^2-4) = 4k^2