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D( p )
4-p = 0
p-4 = 0
4-p = 0
4-p = 0
4-p = 0 // - 4
-p = -4 // * -1
p = 4
p-4 = 0
p-4 = 0
p-4 = 0 // + 4
p = 4
p in (-oo:4) U (4:+oo)
4/(4-p)-((p^2)/(p-4)) = 4 // - 4
4/(4-p)-((p^2)/(p-4))-4 = 0
4/(4-p)+(-1*p^2)/(p-4)-4 = 0
(4*(p-4))/((4-p)*(p-4))+(-1*p^2*(4-p))/((4-p)*(p-4))+(-4*(4-p)*(p-4))/((4-p)*(p-4)) = 0
4*(p-4)-1*p^2*(4-p)-4*(4-p)*(p-4) = 0
p^3-4*p^2+4*p^2+4*p-32*p-16+64 = 0
p^3-28*p+48 = 0
p^3-28*p+48 = 0
p^3-28*p+48 = 0
{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 8, -8, 12, -12, 16, -16, 24, -24, 48, -48 }
1
p = 1
p^3-28*p+48 = 21
1
-1
p = -1
p^3-28*p+48 = 75
-1
2
p = 2
p^3-28*p+48 = 0
2
p-2
p^2+2*p-24
p^3-28*p+48
p-2
2*p^2-p^3
2*p^2-28*p+48
4*p-2*p^2
48-24*p
24*p-48
0
p^2+2*p-24 = 0
DELTA = 2^2-(-24*1*4)
DELTA = 100
DELTA > 0
p = (100^(1/2)-2)/(1*2) or p = (-100^(1/2)-2)/(1*2)
p = 4 or p = -6
p in { -6, 4, 2}
(p+6)*(p-4)*(p-2) = 0
((p+6)*(p-4)*(p-2))/((4-p)*(p-4)) = 0
((p+6)*(p-4)*(p-2))/((4-p)*(p-4)) = 0 // * (4-p)*(p-4)
(p+6)*(p-4)*(p-2) = 0
( p+6 )
p+6 = 0 // - 6
p = -6
( p-2 )
p-2 = 0 // + 2
p = 2
( p-4 )
p-4 = 0 // + 4
p = 4
p in { 4}
p in { -6, 2 }
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