(w^2-5w+6)/(6w^2-54w+180)

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Solution for (w^2-5w+6)/(6w^2-54w+180) equation:


D( w )

6*w^2-(54*w)+180 = 0

6*w^2-(54*w)+180 = 0

6*w^2-(54*w)+180 = 0

6*w^2-54*w+180 = 0

6*w^2-54*w+180 = 0

DELTA = (-54)^2-(4*6*180)

DELTA = -1404

DELTA < 0

w in (-oo:+oo)

(w^2-(5*w)+6)/(6*w^2-(54*w)+180) = 0

(w^2-5*w+6)/(6*w^2-54*w+180) = 0

w^2-5*w+6 = 0

w^2-5*w+6 = 0

DELTA = (-5)^2-(1*4*6)

DELTA = 1

DELTA > 0

w = (1^(1/2)+5)/(1*2) or w = (5-1^(1/2))/(1*2)

w = 3 or w = 2

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

6*w^2-54*w+180 = 0

6*(w^2-9*w+30) = 0

w^2-9*w+30 = 0

DELTA = (-9)^2-(1*4*30)

DELTA = -39

DELTA < 0

6 = 0

((w-2)*(w-3))/6 = 0

( w-2 )

w-2 = 0 // + 2

w = 2

( w-3 )

w-3 = 0 // + 3

w = 3

w in { 2, 3 }

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