(x^2-6x+8)/(x^2-5x+6)

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Solution for (x^2-6x+8)/(x^2-5x+6) equation:


D( x )

x^2-(5*x)+6 = 0

x^2-(5*x)+6 = 0

x^2-(5*x)+6 = 0

x^2-5*x+6 = 0

x^2-5*x+6 = 0

DELTA = (-5)^2-(1*4*6)

DELTA = 1

DELTA > 0

x = (1^(1/2)+5)/(1*2) or x = (5-1^(1/2))/(1*2)

x = 3 or x = 2

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

(x^2-(6*x)+8)/(x^2-(5*x)+6) = 0

(x^2-6*x+8)/(x^2-5*x+6) = 0

x^2-6*x+8 = 0

x^2-6*x+8 = 0

DELTA = (-6)^2-(1*4*8)

DELTA = 4

DELTA > 0

x = (4^(1/2)+6)/(1*2) or x = (6-4^(1/2))/(1*2)

x = 4 or x = 2

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

x^2-5*x+6 = 0

x^2-5*x+6 = 0

DELTA = (-5)^2-(1*4*6)

DELTA = 1

DELTA > 0

x = (1^(1/2)+5)/(1*2) or x = (5-1^(1/2))/(1*2)

x = 3 or x = 2

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

((x-2)*(x-4))/((x-2)*(x-3)) = 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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