(3x-7)/(x^2-5x+6)

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Solution for (3x-7)/(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)

(3*x-7)/(x^2-(5*x)+6) = 0

(3*x-7)/(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-2)*(x-3) = 0

(3*x-7)/((x-2)*(x-3)) = 0

3*x-7 = 0 // + 7

3*x = 7 // : 3

x = 7/3

x = 7/3

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