r^2-1/(2r)-1/2

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Solution for r^2-1/(2r)-1/2 equation: 


D( r )

2*r = 0

2*r = 0

2*r = 0

2*r = 0 // : 2

r = 0

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

r^2-(1/(2*r))-(1/2) = 0

r^2+(-1/2)*r^-1-1/2 = 0

1*r^2-1/2*r^-1-1/2*r^0 = 0

(1*r^3-1/2*r^1-1/2*r^0)/(r^1) = 0 // * r^2

r^1*(1*r^3-1/2*r^1-1/2*r^0) = 0

r^1

r^3+(-1/2)*r-1/2 = 0

r^3+(-1/2)*r-1/2 = 0 // * 0

{ 1, -1 }

1

r = 1

2*r^3-r-1 = 0

1

r-1

2*r^2+2*r+1

2*r^3-r-1

r-1

2*r^2-2*r^3

2*r^2-r-1

2*r-2*r^2

r-1

1-r

0

2*r^2+2*r+1 = 0

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

DELTA = -4

DELTA < 0

r in { 1} 

r = 1

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