2r-4/r-4

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


D( r )

r = 0

r = 0

r = 0

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

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

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

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

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

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

r^1

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

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

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

DELTA = 48

DELTA > 0

r = (48^(1/2)+4)/(2*2) or r = (4-48^(1/2))/(2*2)

r = (4*3^(1/2)+4)/4 or r = (4-4*3^(1/2))/4

r in { (4-4*3^(1/2))/4, (4*3^(1/2)+4)/4} 

r in { (4-4*3^(1/2))/4, (4*3^(1/2)+4)/4 }

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