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

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Solution for x^2/(x-3)-(5x-6)/(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-3)-((5*x-6)/(x-3)) = 0

(x^2)/(x-3)+(-1*(5*x-6))/(x-3) = 0

x^2-1*(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-2)*(x-3) = 0

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

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

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

( x-2 )

x-2 = 0 // + 2

x = 2

( x-3 )

x-3 = 0 // + 3

x = 3

x in { 3} 

x = 2

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