(x^4-81)/(x^3-3x^2)

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Solution for (x^4-81)/(x^3-3x^2) equation: 


D( x )

x^3-(3*x^2) = 0

x^3-(3*x^2) = 0

x^3-(3*x^2) = 0

x^3-3*x^2 = 0

x^3-3*x^2 = 0

x^2*(x-3) = 0

x-3 = 0 // + 3

x = 3

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in (-oo:0) U (0:3) U (3:+oo)

(x^4-81)/(x^3-(3*x^2)) = 0

(x^4-81)/(x^3-3*x^2) = 0

x^3-3*x^2 = 0

x^2*(x-3) = 0

x-3 = 0 // + 3

x = 3

x^2*(x-3) = 0

(x^4-81)/(x^2*(x-3)) = 0

1*x^4 = 81 // : 1

x^4 = 81

x^4 = 81 // ^ 1/4

abs(x) = 3

x = 3 or x = -3

x in { 3} 

x = -3

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