2r-4/r-2

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Solution for 2r-4/r-2 equation:


D( r )

r = 0

r = 0

r = 0

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

2*r-(4/r)-2 = 0

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

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

(2*r^2-2*r^1-4*r^0)/(r^1) = 0 // * r^2

r^1*(2*r^2-2*r^1-4*r^0) = 0

r^1

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

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

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

DELTA = 36

DELTA > 0

r = (36^(1/2)+2)/(2*2) or r = (2-36^(1/2))/(2*2)

r = 2 or r = -1

r in { -1, 2}

r in { -1, 2 }

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