16w/25=10/w

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Solution for 16w/25=10/w equation:


D( w )

w = 0

w = 0

w = 0

w in (-oo:0) U (0:+oo)

(16*w)/25 = 10/w // - 10/w

(16*w)/25-(10/w) = 0

(16*w)/25-10*w^-1 = 0

16/25*w^1-10*w^-1 = 0

(16/25*w^2-10*w^0)/(w^1) = 0 // * w^2

w^1*(16/25*w^2-10*w^0) = 0

w^1

(16/25)*w^2-10 = 0

(16/25)*w^2-10 = 0

DELTA = 0^2-(-10*4*(16/25))

DELTA = 128/5

DELTA > 0

w = ((128/5)^(1/2)+0)/(2*(16/25)) or w = (0-(128/5)^(1/2))/(2*(16/25))

w = 25/32*(128/5)^(1/2) or w = 25/32*(128/5)^(1/2)

w in { 25/32*(128/5)^(1/2), 25/32*(128/5)^(1/2)}

w in { 25/32*(128/5)^(1/2), 25/32*(128/5)^(1/2) }

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