9/X=1/2X+68

Solution for 9/X=1/2X+68 equation:

D( X )

X = 0

X = 0

X = 0

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

9/X = (1/2)*X+68 // - (1/2)*X+68

9/X-((1/2)*X)-68 = 0

(-1/2)*X+9/X-68 = 0

9*X^-1-1/2*X^1-68*X^0 = 0

(9*X^0-1/2*X^2-68*X^1)/(X^1) = 0 // * X^2

X^1*(9*X^0-1/2*X^2-68*X^1) = 0

X^1

(-1/2)*X^2-68*X+9 = 0

(-1/2)*X^2-68*X+9 = 0

DELTA = (-68)^2-(4*9*(-1/2))

DELTA = 4642

DELTA > 0

X = (4642^(1/2)+68)/(2*(-1/2)) or X = (68-4642^(1/2))/(2*(-1/2))

X = -(4642^(1/2)+68) or X = 4642^(1/2)-68

X in { -(4642^(1/2)+68), 4642^(1/2)-68} 

X in { -(4642^(1/2)+68), 4642^(1/2)-68 }