p^2+7p-5/p+9

Solution for p^2+7p-5/p+9 equation:

D( p )

p = 0

p = 0

p = 0

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

p^2+7*p-(5/p)+9 = 0

p^2+7*p-5*p^-1+9 = 0

1*p^2+7*p^1-5*p^-1+9*p^0 = 0

(1*p^3+7*p^2+9*p^1-5*p^0)/(p^1) = 0 // * p^2

p^1*(1*p^3+7*p^2+9*p^1-5*p^0) = 0

p^1

p^3+7*p^2+9*p-5 = 0

{ 1, -1, 5, -5 }

1

p = 1

p^3+7*p^2+9*p-5 = 12

1

-1

p = -1

p^3+7*p^2+9*p-5 = -8

-1

5

p = 5

p^3+7*p^2+9*p-5 = 340

5

-5

p = -5

p^3+7*p^2+9*p-5 = 0

-5

p+5

p^2+2*p-1

p^3+7*p^2+9*p-5

p+5

-p^3-5*p^2

2*p^2+9*p-5

-2*p^2-10*p

-p-5

p+5

0

p^2+2*p-1 = 0

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

DELTA = 8

DELTA > 0

p = (8^(1/2)-2)/(1*2) or p = (-8^(1/2)-2)/(1*2)

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

p in { (-2*2^(1/2)-2)/2, (2*2^(1/2)-2)/2, -5} 

p in { (-2*2^(1/2)-2)/2, (2*2^(1/2)-2)/2, -5 }