(x-6)/(x^2-2x-24)

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Solution for (x-6)/(x^2-2x-24) equation: 


D( x )

x^2-(2*x)-24 = 0

x^2-(2*x)-24 = 0

x^2-(2*x)-24 = 0

x^2-2*x-24 = 0

x^2-2*x-24 = 0

DELTA = (-2)^2-(-24*1*4)

DELTA = 100

DELTA > 0

x = (100^(1/2)+2)/(1*2) or x = (2-100^(1/2))/(1*2)

x = 6 or x = -4

x in (-oo:-4) U (-4:6) U (6:+oo)

(x-6)/(x^2-(2*x)-24) = 0

(x-6)/(x^2-2*x-24) = 0

x^2-2*x-24 = 0

x^2-2*x-24 = 0

DELTA = (-2)^2-(-24*1*4)

DELTA = 100

DELTA > 0

x = (100^(1/2)+2)/(1*2) or x = (2-100^(1/2))/(1*2)

x = 6 or x = -4

(x+4)*(x-6) = 0

(x-6)/((x+4)*(x-6)) = 0

x-6 = 0 // + 6

x = 6

x in { 6} 

x belongs to the empty set

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