(x^2-7x+12)/(x^2-2x-3)

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Solution for (x^2-7x+12)/(x^2-2x-3) equation: 


D( x )

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

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

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

x^2-2*x-3 = 0

x^2-2*x-3 = 0

DELTA = (-2)^2-(-3*1*4)

DELTA = 16

DELTA > 0

x = (16^(1/2)+2)/(1*2) or x = (2-16^(1/2))/(1*2)

x = 3 or x = -1

x in (-oo:-1) U (-1:3) U (3:+oo)

(x^2-(7*x)+12)/(x^2-(2*x)-3) = 0

(x^2-7*x+12)/(x^2-2*x-3) = 0

x^2-7*x+12 = 0

x^2-7*x+12 = 0

DELTA = (-7)^2-(1*4*12)

DELTA = 1

DELTA > 0

x = (1^(1/2)+7)/(1*2) or x = (7-1^(1/2))/(1*2)

x = 4 or x = 3

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

x^2-2*x-3 = 0

x^2-2*x-3 = 0

DELTA = (-2)^2-(-3*1*4)

DELTA = 16

DELTA > 0

x = (16^(1/2)+2)/(1*2) or x = (2-16^(1/2))/(1*2)

x = 3 or x = -1

(x+1)*(x-3) = 0

((x-3)*(x-4))/((x+1)*(x-3)) = 0

( x-3 )

x-3 = 0 // + 3

x = 3

( x-4 )

x-4 = 0 // + 4

x = 4

x in { 3} 

x = 4

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