3p-3/p/8p-8/3p^2

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Solution for 3p-3/p/8p-8/3p^2 equation: 


D( p )

p = 0

p = 0

p = 0

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

3*p-((8/3)*p^2)-(((3/p)/8)*p) = 0

(-8/3)*p^2+3*p-3/8 = 0

3*p-8/3*p^2-3/8 = 0

DELTA = 3^2-(-8/3*(-3/8)*4)

DELTA = 5

DELTA > 0

p = (5^(1/2)-3)/(-8/3*2) or p = (-5^(1/2)-3)/(-8/3*2)

p = -3/16*(5^(1/2)-3) or p = 3/16*(5^(1/2)+3)

p in { -3/16*(5^(1/2)-3), 3/16*(5^(1/2)+3) }

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