(x^2-8*x+16)/(x^3-16)

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Solution for (x^2-8*x+16)/(x^3-16) equation: 


D( x )

x^3-16 = 0

x^3-16 = 0

x^3-16 = 0

1*x^3 = 16 // : 1

x^3 = 16

x^3 = 16 // ^ 1/3

x = 2*2^(1/3)

x in (-oo:2*2^(1/3)) U (2*2^(1/3):+oo)

(x^2-(8*x)+16)/(x^3-16) = 0

(x^2-8*x+16)/(x^3-16) = 0

x^2-8*x+16 = 0

x^2-8*x+16 = 0

DELTA = (-8)^2-(1*4*16)

DELTA = 0

x = 8/(1*2)

x = 4 or x = 4

(x-4)^2 = 0

((x-4)^2)/(x^3-16) = 0

x-4 = 0 // + 4

x = 4

x in { 4, 4 }

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