(x^2-16)/(x^3-64)

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Solution for (x^2-16)/(x^3-64) equation:


D( x )

x^3-64 = 0

x^3-64 = 0

x^3-64 = 0

1*x^3 = 64 // : 1

x^3 = 64

x^3 = 64 // ^ 1/3

x = 4

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

(x^2-16)/(x^3-64) = 0

1*x^2 = 16 // : 1

x^2 = 16

x^2 = 16 // ^ 1/2

abs(x) = 4

x = 4 or x = -4

x in { 4}

x = -4

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