(3x-9)/(x^2-6x+9)

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Solution for (3x-9)/(x^2-6x+9) equation: 


D( x )

x^2-(6*x)+9 = 0

x^2-(6*x)+9 = 0

x^2-(6*x)+9 = 0

x^2-6*x+9 = 0

x^2-6*x+9 = 0

DELTA = (-6)^2-(1*4*9)

DELTA = 0

x = 6/(1*2)

x = 3 or x = 3

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

(3*x-9)/(x^2-(6*x)+9) = 0

(3*x-9)/(x^2-6*x+9) = 0

x^2-6*x+9 = 0

x^2-6*x+9 = 0

DELTA = (-6)^2-(1*4*9)

DELTA = 0

x = 6/(1*2)

x = 3 or x = 3

(x-3)^2 = 0

(3*x-9)/((x-3)^2) = 0

3*x-9 = 0 // + 9

3*x = 9 // : 3

x = 9/3

x = 3

x in { 3} 

x belongs to the empty set

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