2p-12/p-6

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Solution for 2p-12/p-6 equation: 


D( p )

p = 0

p = 0

p = 0

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

2*p-(12/p)-6 = 0

2*p-12*p^-1-6 = 0

2*p^1-12*p^-1-6*p^0 = 0

(2*p^2-6*p^1-12*p^0)/(p^1) = 0 // * p^2

p^1*(2*p^2-6*p^1-12*p^0) = 0

p^1

2*p^2-6*p-12 = 0

2*p^2-6*p-12 = 0

DELTA = (-6)^2-(-12*2*4)

DELTA = 132

DELTA > 0

p = (132^(1/2)+6)/(2*2) or p = (6-132^(1/2))/(2*2)

p = (2*33^(1/2)+6)/4 or p = (6-2*33^(1/2))/4

p in { (6-2*33^(1/2))/4, (2*33^(1/2)+6)/4} 

p in { (6-2*33^(1/2))/4, (2*33^(1/2)+6)/4 }

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