5p-30/p-6

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Solution for 5p-30/p-6 equation:


D( p )

p = 0

p = 0

p = 0

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

5*p-(30/p)-6 = 0

5*p-30*p^-1-6 = 0

5*p^1-30*p^-1-6*p^0 = 0

(5*p^2-6*p^1-30*p^0)/(p^1) = 0 // * p^2

p^1*(5*p^2-6*p^1-30*p^0) = 0

p^1

5*p^2-6*p-30 = 0

5*p^2-6*p-30 = 0

DELTA = (-6)^2-(-30*4*5)

DELTA = 636

DELTA > 0

p = (636^(1/2)+6)/(2*5) or p = (6-636^(1/2))/(2*5)

p = (2*159^(1/2)+6)/10 or p = (6-2*159^(1/2))/10

p in { (6-2*159^(1/2))/10, (2*159^(1/2)+6)/10}

p in { (6-2*159^(1/2))/10, (2*159^(1/2)+6)/10 }

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