Question 947871
{{{x^2-3x+k-10=0}}}


General solution of quadratic equation to find and use the roots to form the described description:


{{{((3+sqrt(9-4(k-10)))/2)((3-sqrt(9-4(k-10)))/2)=-2}}}
{{{(1/4)(3+sqrt(9-4(k-10)))(3-sqrt(9-4(k-10)))=-2}}}
Recognize the makings of Difference Of Squares
{{{(1/4)(9-(9-4(k-10)))=-2}}}
{{{(1/4)(0+4(k-10))=-2}}}
{{{k-10=-2}}}
{{{k=-2+10}}}
{{{highlight(k=8)}}}