((x^2)-x-12)/(x-3)

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Solution for ((x^2)-x-12)/(x-3) equation:


D( x )

x-3 = 0

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

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

(x^2-x-12)/(x-3) = 0

x^2-x-12 = 0

x^2-x-12 = 0

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

DELTA = 49

DELTA > 0

x = (49^(1/2)+1)/(1*2) or x = (1-49^(1/2))/(1*2)

x = 4 or x = -3

(x+3)*(x-4) = 0

((x+3)*(x-4))/(x-3) = 0

( x+3 )

x+3 = 0 // - 3

x = -3

( x-4 )

x-4 = 0 // + 4

x = 4

x in { -3, 4 }

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