Question 51308
I'm confused too!!  You have three different quadratic equations, and I don't see how any of them relate to changing  5.5 to a fraction.  


However, the first equation is 
{{{3x^2=11x +4}}}, which becomes 
{{{3x^2-11x-4=0}}}, which factors into
{{{(3x+1)(x-4) = 0}}}
{{{3x+1=0}}} or {{{x-4=0}}}
{{{x=-1/3}}} or {{{x=4}}}.


This works very well by factoring, so you don't need the quadratic formula, unless you specifically wanted to do it by quadratic formula.  In this case, algebra.com has a "pluggable solver" that looks like this:
*[invoke solve_quadratic_equation 3, -11, -4]






R^2 at SCC