r/2-2/r=5/6

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Solution for r/2-2/r=5/6 equation: 


D( r )

r = 0

r = 0

r = 0

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

r/2-(2/r) = 5/6 // - 5/6

r/2-(2/r)-(5/6) = 0

r/2-2*r^-1-5/6 = 0

1/2*r^1-2*r^-1-5/6*r^0 = 0

(1/2*r^2-5/6*r^1-2*r^0)/(r^1) = 0 // * r^2

r^1*(1/2*r^2-5/6*r^1-2*r^0) = 0

r^1

(1/2)*r^2+(-5/6)*r-2 = 0

(1/2)*r^2+(-5/6)*r-2 = 0

DELTA = (-5/6)^2-(-2*4*(1/2))

DELTA = 169/36

DELTA > 0

r = ((169/36)^(1/2)-(-5/6))/(2*(1/2)) or r = (-(-5/6)-(169/36)^(1/2))/(2*(1/2))

r = 3 or r = -4/3

r in { -4/3, 3} 

r in { -4/3, 3 }

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