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D( p )
p = 0
p-15 = 0
p = 0
p = 0
p-15 = 0
p-15 = 0
p-15 = 0 // + 15
p = 15
p in (-oo:0) U (0:15) U (15:+oo)
9/(p-15) = (3*p-12)/(p-15)-(3/p) // - (3*p-12)/(p-15)-(3/p)
9/(p-15)-((3*p-12)/(p-15))+3/p = 0
9/(p-15)+(-1*(3*p-12))/(p-15)+3/p = 0
(9*p)/(p*(p-15))+(-1*p*(3*p-12))/(p*(p-15))+(3*(p-15))/(p*(p-15)) = 0
3*(p-15)-1*p*(3*p-12)+9*p = 0
21*p-3*p^2+3*p-45 = 0
24*p-3*p^2-45 = 0
24*p-3*p^2-45 = 0
3*(8*p-p^2-15) = 0
8*p-p^2-15 = 0
DELTA = 8^2-(-15*(-1)*4)
DELTA = 4
DELTA > 0
p = (4^(1/2)-8)/(-1*2) or p = (-4^(1/2)-8)/(-1*2)
p = 3 or p = 5
3*(p-3)*(p-5) = 0
(3*(p-3)*(p-5))/(p*(p-15)) = 0
(3*(p-3)*(p-5))/(p*(p-15)) = 0 // * p*(p-15)
3*(p-3)*(p-5) = 0
( 3 )
3 = 0
p belongs to the empty set
( p-3 )
p-3 = 0 // + 3
p = 3
( p-5 )
p-5 = 0 // + 5
p = 5
p in { 3, 5 }
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