a-3/a=6/24

Solution for a-3/a=6/24 equation:

D( a )

a = 0

a = 0

a = 0

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

a-(3/a) = 6/24 // - 6/24

a-(3/a)-(6/24) = 0

a-3*a^-1-1/4 = 0

1*a^1-3*a^-1-1/4*a^0 = 0

(1*a^2-1/4*a^1-3*a^0)/(a^1) = 0 // * a^2

a^1*(1*a^2-1/4*a^1-3*a^0) = 0

a^1

a^2+(-1/4)*a-3 = 0

a^2+(-1/4)*a-3 = 0

DELTA = (-1/4)^2-(-3*1*4)

DELTA = 193/16

DELTA > 0

a = ((193/16)^(1/2)-(-1/4))/(1*2) or a = (-(-1/4)-(193/16)^(1/2))/(1*2)

a = ((193/16)^(1/2)+1/4)/2 or a = (1/4-(193/16)^(1/2))/2

a in { (1/4-(193/16)^(1/2))/2, ((193/16)^(1/2)+1/4)/2} 

a in { (1/4-(193/16)^(1/2))/2, ((193/16)^(1/2)+1/4)/2 }