(x2-9x+18)/(x+6)

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Solution for (x2-9x+18)/(x+6) equation: 


D( x )

x+6 = 0

x+6 = 0

x+6 = 0

x+6 = 0 // - 6

x = -6

x in (-oo:-6) U (-6:+oo)

(x^2-(9*x)+18)/(x+6) = 0

(x^2-9*x+18)/(x+6) = 0

x^2-9*x+18 = 0

x^2-9*x+18 = 0

DELTA = (-9)^2-(1*4*18)

DELTA = 9

DELTA > 0

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

x = 6 or x = 3

(x-3)*(x-6) = 0

((x-3)*(x-6))/(x+6) = 0

( x-3 )

x-3 = 0 // + 3

x = 3

( x-6 )

x-6 = 0 // + 6

x = 6

x in { 3, 6 }

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