3r-2/r=9/6

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


D( r )

r = 0

r = 0

r = 0

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

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

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

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

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

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

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

r^1

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

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

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

DELTA = 105/4

DELTA > 0

r = ((105/4)^(1/2)-(-3/2))/(2*3) or r = (-(-3/2)-(105/4)^(1/2))/(2*3)

r = ((105/4)^(1/2)+3/2)/6 or r = (3/2-(105/4)^(1/2))/6

r in { (3/2-(105/4)^(1/2))/6, ((105/4)^(1/2)+3/2)/6}

r in { (3/2-(105/4)^(1/2))/6, ((105/4)^(1/2)+3/2)/6 }

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