(p^2-p-20)/(p^2-16)

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Solution for (p^2-p-20)/(p^2-16) equation: 


D( p )

p^2-16 = 0

p^2-16 = 0

p^2-16 = 0

1*p^2 = 16 // : 1

p^2 = 16

p^2 = 16 // ^ 1/2

abs(p) = 4

p = 4 or p = -4

p in (-oo:-4) U (-4:4) U (4:+oo)

(p^2-p-20)/(p^2-16) = 0

p^2-p-20 = 0

p^2-p-20 = 0

DELTA = (-1)^2-(-20*1*4)

DELTA = 81

DELTA > 0

p = (81^(1/2)+1)/(1*2) or p = (1-81^(1/2))/(1*2)

p = 5 or p = -4

(p+4)*(p-5) = 0

((p+4)*(p-5))/(p^2-16) = 0

( p+4 )

p+4 = 0 // - 4

p = -4

( p-5 )

p-5 = 0 // + 5

p = 5

p in { -4} 

p = 5

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