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

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


D( x )

x-4 = 0

x-4 = 0

x-4 = 0

x-4 = 0 // + 4

x = 4

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

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

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

x^4-16*x^2 = 0

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

1*x^2 = 16 // : 1

x^2 = 16

x^2 = 16 // ^ 1/2

abs(x) = 4

x = 4 or x = -4

x^2*(x-4)*(x+4) = 0

x^2*(x+4) = 0

( x+4 )

x+4 = 0 // - 4

x = -4

( x^2 )

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in { -4, 0 }

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