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

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


D( x )

x^3-(16*x) = 0

x^3-(16*x) = 0

x^3-(16*x) = 0

x^3-16*x = 0

x^3-16*x = 0

x*(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 = 0

x = 0

x in (-oo:-4) U (-4:0) U (0:4) U (4:+oo)

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

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

x^3-16*x = 0

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

(2*x-8)/(x*(x-4)*(x+4)) = 0

2*x-8 = 0 // + 8

2*x = 8 // : 2

x = 8/2

x = 4

x in { 4}

x belongs to the empty set

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