-1/2w+8+1=-8/w+4

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Solution for -1/2w+8+1=-8/w+4 equation:


D( w )

w = 0

w = 0

w = 0

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

(-1/2)*w+1+8 = 4-8/w // - 4-8/w

(-1/2)*w-(-8/w)-4+1+8 = 0

(-1/2)*w+8*w^-1-4+1+8 = 0

8*w^-1-1/2*w^1+5*w^0 = 0

(5*w^1-1/2*w^2+8*w^0)/(w^1) = 0 // * w^2

w^1*(5*w^1-1/2*w^2+8*w^0) = 0

w^1

(-1/2)*w^2+5*w+8 = 0

(-1/2)*w^2+5*w+8 = 0

DELTA = 5^2-(4*8*(-1/2))

DELTA = 41

DELTA > 0

w = (41^(1/2)-5)/(2*(-1/2)) or w = (-41^(1/2)-5)/(2*(-1/2))

w = 5-41^(1/2) or w = 41^(1/2)+5

w in { 5-41^(1/2), 41^(1/2)+5}

w in { 5-41^(1/2), 41^(1/2)+5 }

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