3r-2/r=6/9

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Solution for 3r-2/r=6/9 equation: 


D( r )

r = 0

r = 0

r = 0

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

3*r-(2/r) = 6/9 // - 6/9

3*r-(2/r)-(6/9) = 0

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

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

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

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

r^1

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

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

DELTA = (-2/3)^2-(-2*3*4)

DELTA = 220/9

DELTA > 0

r = ((220/9)^(1/2)-(-2/3))/(2*3) or r = (-(-2/3)-(220/9)^(1/2))/(2*3)

r = ((220/9)^(1/2)+2/3)/6 or r = (2/3-(220/9)^(1/2))/6

r in { (2/3-(220/9)^(1/2))/6, ((220/9)^(1/2)+2/3)/6} 

r in { (2/3-(220/9)^(1/2))/6, ((220/9)^(1/2)+2/3)/6 }

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