Question 332007
The sum of the solutions of a quadratic are given by -b/a

The product of the solutions of a quadratic are given by c/a

Therefore, {{{-b/a=c/a}}}

{{{-b=c}}}

This means {{{-2=-3k}}}

{{{k=2/3}}}

The quadratic is {{{2/3*x^2+2x-2}}}

Check:  

{{{-b/a=-2/(2/3)=-3}}}

{{{c/a=-2/(2/3)=-3}}}