(p^2-2p)^2/(p^2-2p)

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Solution for (p^2-2p)^2/(p^2-2p) equation: 


D( p )

p^2-(2*p) = 0

p^2-(2*p) = 0

p^2-(2*p) = 0

p^2-2*p = 0

p^2-2*p = 0

DELTA = (-2)^2-(0*1*4)

DELTA = 4

DELTA > 0

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

p = 2 or p = 0

p in (-oo:0) U (0:2) U (2:+oo)

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

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

p^2-2*p = 0

p^2-2*p = 0

p*(p-2) = 0

p-2 = 0 // + 2

p = 2

p*(p-2) = 0

p*(p-2) = 0

( p-2 )

p-2 = 0 // + 2

p = 2

( p )

p = 0

p in { 2} 

p in { 0} 

p belongs to the empty set

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