w-8/w=7

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Solution for w-8/w=7 equation:


D( w )

w = 0

w = 0

w = 0

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

w-(8/w) = 7 // - 7

w-(8/w)-7 = 0

w-8*w^-1-7 = 0

1*w^1-8*w^-1-7*w^0 = 0

(1*w^2-7*w^1-8*w^0)/(w^1) = 0 // * w^2

w^1*(1*w^2-7*w^1-8*w^0) = 0

w^1

w^2-7*w-8 = 0

w^2-7*w-8 = 0

DELTA = (-7)^2-(-8*1*4)

DELTA = 81

DELTA > 0

w = (81^(1/2)+7)/(1*2) or w = (7-81^(1/2))/(1*2)

w = 8 or w = -1

w in { -1, 8}

w in { -1, 8 }

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