1/n^2-n-2

Solution for 1/n^2-n-2 equation:

D( n )

n^2 = 0

n^2 = 0

n^2 = 0

1*n^2 = 0 // : 1

n^2 = 0

n = 0

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

1/(n^2)-n-2 = 0

1*n^-2-1*n^1-2*n^0 = 0

(1*n^0-1*n^3-2*n^2)/(n^2) = 0 // * n^4

n^2*(1*n^0-1*n^3-2*n^2) = 0

n^2

1-n^3-2*n^2 = 0

{ 1, -1 }

1

n = 1

1-n^3-2*n^2 = -2

1

-1

n = -1

1-n^3-2*n^2 = 0

-1

n+1

1-n^2-n

1-n^3-2*n^2

n+1

n^3+n^2

1-n^2

n^2+n

n+1

-n-1

0

1-n^2-n = 0

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

DELTA = 5

DELTA > 0

n = (5^(1/2)+1)/(-1*2) or n = (1-5^(1/2))/(-1*2)

n = (5^(1/2)+1)/(-2) or n = (1-5^(1/2))/(-2)

n in { (5^(1/2)+1)/(-2), (1-5^(1/2))/(-2), -1} 

n in { (5^(1/2)+1)/(-2), (1-5^(1/2))/(-2), -1 }