(w^2-9w+20)/(6w^2-96)

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Solution for (w^2-9w+20)/(6w^2-96) equation: 


D( w )

6*w^2-96 = 0

6*w^2-96 = 0

6*w^2-96 = 0

6*w^2 = 96 // : 6

w^2 = 16

w^2 = 16 // ^ 1/2

abs(w) = 4

w = 4 or w = -4

w in (-oo:-4) U (-4:4) U (4:+oo)

(w^2-(9*w)+20)/(6*w^2-96) = 0

(w^2-9*w+20)/(6*w^2-96) = 0

w^2-9*w+20 = 0

w^2-9*w+20 = 0

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

DELTA = 1

DELTA > 0

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

w = 5 or w = 4

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

((w-4)*(w-5))/(6*w^2-96) = 0

( w-4 )

w-4 = 0 // + 4

w = 4

( w-5 )

w-5 = 0 // + 5

w = 5

w in { 4} 

w = 5

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