(w^2-w-12)/(64-4w^2)

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Solution for (w^2-w-12)/(64-4w^2) equation: 


D( w )

64-(4*w^2) = 0

64-(4*w^2) = 0

64-(4*w^2) = 0

64-4*w^2 = 0

-4*w^2 = -64 // : -4

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-w-12)/(64-(4*w^2)) = 0

(w^2-w-12)/(64-4*w^2) = 0

w^2-w-12 = 0

w^2-w-12 = 0

DELTA = (-1)^2-(-12*1*4)

DELTA = 49

DELTA > 0

w = (49^(1/2)+1)/(1*2) or w = (1-49^(1/2))/(1*2)

w = 4 or w = -3

(w+3)*(w-4) = 0

((w+3)*(w-4))/(64-4*w^2) = 0

( w+3 )

w+3 = 0 // - 3

w = -3

( w-4 )

w-4 = 0 // + 4

w = 4

w in { 4} 

w = -3

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