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D( w )
5*w^2-(10*w)-15 = 0
5*w^2-(10*w)-15 = 0
5*w^2-(10*w)-15 = 0
5*w^2-10*w-15 = 0
5*w^2-10*w-15 = 0
DELTA = (-10)^2-(-15*4*5)
DELTA = 400
DELTA > 0
w = (400^(1/2)+10)/(2*5) or w = (10-400^(1/2))/(2*5)
w = 3 or w = -1
w in (-oo:-1) U (-1:3) U (3:+oo)
(w^2-(3*w)-4)/(5*w^2-(10*w)-15) = 0
(w^2-3*w-4)/(5*w^2-10*w-15) = 0
w^2-3*w-4 = 0
w^2-3*w-4 = 0
DELTA = (-3)^2-(-4*1*4)
DELTA = 25
DELTA > 0
w = (25^(1/2)+3)/(1*2) or w = (3-25^(1/2))/(1*2)
w = 4 or w = -1
(w+1)*(w-4) = 0
5*w^2-10*w-15 = 0
5*(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
5*(w+1)*(w-3) = 0
((w+1)*(w-4))/(5*(w+1)*(w-3)) = 0
( w+1 )
w+1 = 0 // - 1
w = -1
( w-4 )
w-4 = 0 // + 4
w = 4
w in { -1}
w = 4
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