(5w^2-80)/(w^2-2w-8)

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Solution for (5w^2-80)/(w^2-2w-8) equation: 


D( w )

w^2-(2*w)-8 = 0

w^2-(2*w)-8 = 0

w^2-(2*w)-8 = 0

w^2-2*w-8 = 0

w^2-2*w-8 = 0

DELTA = (-2)^2-(-8*1*4)

DELTA = 36

DELTA > 0

w = (36^(1/2)+2)/(1*2) or w = (2-36^(1/2))/(1*2)

w = 4 or w = -2

w in (-oo:-2) U (-2:4) U (4:+oo)

(5*w^2-80)/(w^2-(2*w)-8) = 0

(5*w^2-80)/(w^2-2*w-8) = 0

w^2-2*w-8 = 0

w^2-2*w-8 = 0

DELTA = (-2)^2-(-8*1*4)

DELTA = 36

DELTA > 0

w = (36^(1/2)+2)/(1*2) or w = (2-36^(1/2))/(1*2)

w = 4 or w = -2

(w+2)*(w-4) = 0

(5*w^2-80)/((w+2)*(w-4)) = 0

5*w^2 = 80 // : 5

w^2 = 16

w^2 = 16 // ^ 1/2

abs(w) = 4

w = 4 or w = -4

w in { 4} 

w = -4

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