(w^2-2w-3)/(3w^2-27)

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Solution for (w^2-2w-3)/(3w^2-27) equation: 


D( w )

3*w^2-27 = 0

3*w^2-27 = 0

3*w^2-27 = 0

3*w^2 = 27 // : 3

w^2 = 9

w^2 = 9 // ^ 1/2

abs(w) = 3

w = 3 or w = -3

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

(w^2-(2*w)-3)/(3*w^2-27) = 0

(w^2-2*w-3)/(3*w^2-27) = 0

w^2-2*w-3 = 0

w^2-2*w-3 = 0

DELTA = (-2)^2-(-3*1*4)

DELTA = 16

DELTA > 0

w = (16^(1/2)+2)/(1*2) or w = (2-16^(1/2))/(1*2)

w = 3 or w = -1

(w+1)*(w-3) = 0

((w+1)*(w-3))/(3*w^2-27) = 0

( w+1 )

w+1 = 0 // - 1

w = -1

( w-3 )

w-3 = 0 // + 3

w = 3

w in { 3} 

w = -1

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