(512/p)=8p

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Solution for (512/p)=8p equation:


D( p )

p = 0

p = 0

p = 0

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

512/p = 8*p // - 8*p

512/p-(8*p) = 0

512/p-8*p = 0

512*p^-1-8*p^1 = 0

(512*p^0-8*p^2)/(p^1) = 0 // * p^2

p^1*(512*p^0-8*p^2) = 0

p^1

512-8*p^2 = 0

512-8*p^2 = 0

DELTA = 0^2-(-8*4*512)

DELTA = 16384

DELTA > 0

p = (16384^(1/2)+0)/(-8*2) or p = (0-16384^(1/2))/(-8*2)

p = -8 or p = 8

p in { -8, 8}

p in { -8, 8 }

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