(2x^2-16)/(x-4)^2

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Solution for (2x^2-16)/(x-4)^2 equation:


D( x )

(x-4)^2 = 0

(x-4)^2 = 0

(x-4)^2 = 0

x-4 = 0 // + 4

x = 4

x in (-oo:4) U (4:+oo)

(2*x^2-16)/((x-4)^2) = 0

2*x^2 = 16 // : 2

x^2 = 8

x^2 = 8 // ^ 1/2

abs(x) = 2*2^(1/2)

x = 2*2^(1/2) or x = -(2*2^(1/2))

x in { 2*2^(1/2), -(2*2^(1/2)) }

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