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

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


D( x )

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

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

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

x^3+x^2-2*x = 0

x^3+x^2-2*x = 0

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

x^2+x-2 = 0

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

DELTA = 9

DELTA > 0

x = (9^(1/2)-1)/(1*2) or x = (-9^(1/2)-1)/(1*2)

x = 1 or x = -2

x = 0

x = 0

x in (-oo:-2) U (-2:0) U (0:1) U (1:+oo)

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

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

x^2-2*x-8 = 0

x^2-2*x-8 = 0

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

DELTA = 36

DELTA > 0

x = (36^(1/2)+2)/(1*2) or x = (2-36^(1/2))/(1*2)

x = 4 or x = -2

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

x^3+x^2-2*x = 0

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

x^2+x-2 = 0

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

DELTA = 9

DELTA > 0

x = (9^(1/2)-1)/(1*2) or x = (-9^(1/2)-1)/(1*2)

x = 1 or x = -2

x*(x+2)*(x-1) = 0

((x+2)*(x-4))/(x*(x+2)*(x-1)) = 0

( x+2 )

x+2 = 0 // - 2

x = -2

( x-4 )

x-4 = 0 // + 4

x = 4

x in { -2} 

x = 4

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