(p2+4p-24)/(p+8)

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Solution for (p2+4p-24)/(p+8) equation: 


D( p )

p+8 = 0

p+8 = 0

p+8 = 0

p+8 = 0 // - 8

p = -8

p in (-oo:-8) U (-8:+oo)

(p^2+4*p-24)/(p+8) = 0

p^2+4*p-24 = 0

p^2+4*p-24 = 0

DELTA = 4^2-(-24*1*4)

DELTA = 112

DELTA > 0

p = (112^(1/2)-4)/(1*2) or p = (-112^(1/2)-4)/(1*2)

p = (4*7^(1/2)-4)/2 or p = (-4*7^(1/2)-4)/2

(p-((-4*7^(1/2)-4)/2))*(p-((4*7^(1/2)-4)/2)) = 0

((p-((-4*7^(1/2)-4)/2))*(p-((4*7^(1/2)-4)/2)))/(p+8) = 0

( p-((-4*7^(1/2)-4)/2) )

p-((-4*7^(1/2)-4)/2) = 0 // + (-4*7^(1/2)-4)/2

p = (-4*7^(1/2)-4)/2

( p-((4*7^(1/2)-4)/2) )

p-((4*7^(1/2)-4)/2) = 0 // + (4*7^(1/2)-4)/2

p = (4*7^(1/2)-4)/2

p in { (-4*7^(1/2)-4)/2, (4*7^(1/2)-4)/2 }

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