Question 101758
{{{ (3/4)s^2+(1/2)s+(1/12)=0}}}    multiply both sides by {{{12}}}
{{{(3/4)*12*(s^2) +(1/2)*12*s +(1/12)*12=0}}}
{{{9(s^2) +6s +1=0}}}

{{{s(1,2)=-6/18 +-sqrt(36-36)/18)}}}

{{{s(1,2)= (-6+-0)/18)}}}
{{{s= (-6/18))}}}
{{{s= (-1/3)}}}

Check:

{{{(3/4)*(-1/3)^2 +(1/2)*(-1/3)+(1/12)= 0}}}
{{{(3/4)*(1/9) - (1/6) + (1/12) = 0}}}
{{{(1/12) - (1/6) + (1/12) = 0}}}
{{{(2/12) - (1/6) = 0}}}
{{{(1/6) - (1/6) = 0}}}
{{{0=0}}}