(x^2-4x-12)/(x^2-x-6)

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Solution for (x^2-4x-12)/(x^2-x-6) equation:


D( x )

x^2-x-6 = 0

x^2-x-6 = 0

x^2-x-6 = 0

x^2-x-6 = 0

DELTA = (-1)^2-(-6*1*4)

DELTA = 25

DELTA > 0

x = (25^(1/2)+1)/(1*2) or x = (1-25^(1/2))/(1*2)

x = 3 or x = -2

x in (-oo:-2) U (-2:3) U (3:+oo)

(x^2-(4*x)-12)/(x^2-x-6) = 0

(x^2-4*x-12)/(x^2-x-6) = 0

x^2-4*x-12 = 0

x^2-4*x-12 = 0

DELTA = (-4)^2-(-12*1*4)

DELTA = 64

DELTA > 0

x = (64^(1/2)+4)/(1*2) or x = (4-64^(1/2))/(1*2)

x = 6 or x = -2

(x+2)*(x-6) = 0

x^2-x-6 = 0

x^2-x-6 = 0

DELTA = (-1)^2-(-6*1*4)

DELTA = 25

DELTA > 0

x = (25^(1/2)+1)/(1*2) or x = (1-25^(1/2))/(1*2)

x = 3 or x = -2

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

((x+2)*(x-6))/((x+2)*(x-3)) = 0

( x+2 )

x+2 = 0 // - 2

x = -2

( x-6 )

x-6 = 0 // + 6

x = 6

x in { -2}

x = 6

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