p-8=-15/p

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Solution for p-8=-15/p equation:


D( p )

p = 0

p = 0

p = 0

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

p-8 = -15/p // + -15/p

p-(-15/p)-8 = 0

p+15*p^-1-8 = 0

1*p^1+15*p^-1-8*p^0 = 0

(1*p^2-8*p^1+15*p^0)/(p^1) = 0 // * p^2

p^1*(1*p^2-8*p^1+15*p^0) = 0

p^1

p^2-8*p+15 = 0

p^2-8*p+15 = 0

DELTA = (-8)^2-(1*4*15)

DELTA = 4

DELTA > 0

p = (4^(1/2)+8)/(1*2) or p = (8-4^(1/2))/(1*2)

p = 5 or p = 3

p in { 3, 5}

p in { 3, 5 }

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