(x^2-9x+20)/(x-3)

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Solution for (x^2-9x+20)/(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-(9*x)+20)/(x-3) = 0

(x^2-9*x+20)/(x-3) = 0

x^2-9*x+20 = 0

x^2-9*x+20 = 0

DELTA = (-9)^2-(1*4*20)

DELTA = 1

DELTA > 0

x = (1^(1/2)+9)/(1*2) or x = (9-1^(1/2))/(1*2)

x = 5 or x = 4

(x-4)*(x-5) = 0

((x-4)*(x-5))/(x-3) = 0

( x-4 )

x-4 = 0 // + 4

x = 4

( x-5 )

x-5 = 0 // + 5

x = 5

x in { 4, 5 }

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