4/r^2-2r-3-12/r^2-2r-3

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Solution for 4/r^2-2r-3-12/r^2-2r-3 equation:


D( r )

r^2 = 0

r^2 = 0

r^2 = 0

1*r^2 = 0 // : 1

r^2 = 0

r = 0

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

4/(r^2)-(2*r)-(2*r)-(12/(r^2))-3-3 = 0

4/(r^2)-2*r-2*r-12*r^-2-3-3 = 0

-4*r^1-8*r^-2-6*r^0 = 0

(-4*r^3-6*r^2-8*r^0)/(r^2) = 0 // * r^4

r^2*(-4*r^3-6*r^2-8*r^0) = 0

r^2

-4*r^3-6*r^2-8 = 0

{ 1, -1, 2, -2, 4, -4, 8, -8 }

1

r = 1

-4*r^3-6*r^2-8 = -18

1

-1

r = -1

-4*r^3-6*r^2-8 = -10

-1

2

r = 2

-4*r^3-6*r^2-8 = -64

2

-2

r = -2

-4*r^3-6*r^2-8 = 0

-2

r+2

2*r-4*r^2-4

-4*r^3-6*r^2-8

r+2

4*r^3+8*r^2

2*r^2-8

-2*r^2-4*r

-4*r-8

4*r+8

0

2*r-4*r^2-4 = 0

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

DELTA = -60

DELTA < 0

r in { -2}

r = -2

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