p^2/3-p^1/3=6

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Solution for p^2/3-p^1/3=6 equation:


p in (-oo:+oo)

(p^2)/3-((p^1)/3) = 6 // - 6

(p^2)/3-((p^1)/3)-6 = 0

(p^2)/3-(p/3)-6 = 0

1/3*p^2-1/3*p-6 = 0

DELTA = (-1/3)^2-(-6*1/3*4)

DELTA = 73/9

DELTA > 0

p = ((73/9)^(1/2)+1/3)/(1/3*2) or p = (1/3-(73/9)^(1/2))/(1/3*2)

p = 3/2*((73/9)^(1/2)+1/3) or p = 3/2*(1/3-(73/9)^(1/2))

p in { 3/2*(1/3-(73/9)^(1/2)), 3/2*((73/9)^(1/2)+1/3) }

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