2400/p=300-6p

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Solution for 2400/p=300-6p equation:


D( p )

p = 0

p = 0

p = 0

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

2400/p = 300-(6*p) // - 300-(6*p)

6*p+2400/p-300 = 0

6*p^1+2400*p^-1-300*p^0 = 0

(6*p^2-300*p^1+2400*p^0)/(p^1) = 0 // * p^2

p^1*(6*p^2-300*p^1+2400*p^0) = 0

p^1

6*p^2-300*p+2400 = 0

6*p^2-300*p+2400 = 0

DELTA = (-300)^2-(4*6*2400)

DELTA = 32400

DELTA > 0

p = (32400^(1/2)+300)/(2*6) or p = (300-32400^(1/2))/(2*6)

p = 40 or p = 10

p in { 10, 40}

p in { 10, 40 }

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