p-7/p-2

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Solution for p-7/p-2 equation: 


D( p )

p = 0

p = 0

p = 0

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

p-(7/p)-2 = 0

p-7*p^-1-2 = 0

1*p^1-7*p^-1-2*p^0 = 0

(1*p^2-2*p^1-7*p^0)/(p^1) = 0 // * p^2

p^1*(1*p^2-2*p^1-7*p^0) = 0

p^1

p^2-2*p-7 = 0

p^2-2*p-7 = 0

DELTA = (-2)^2-(-7*1*4)

DELTA = 32

DELTA > 0

p = (32^(1/2)+2)/(1*2) or p = (2-32^(1/2))/(1*2)

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

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

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

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