Question 763896
For the roots of a quadratic equatioin (ax^2 +bx + c) to be equal and real, the discriminant of the equation must be 0.  The discriminant is the part under the square root sign in the quadratic formula:<P>
b^2 - 4ac<P>
For this equation b= 4k, a=12 and c=3<P>
{{{(4k)^2 - 4*12*3 = 0}}}<P>
{{{16k^2 - 144 = 0}}}<P>
{{{16k^2 = 144}}}<P>
{{{k^2 = 9}}}<P>
k = 3 or -3<P>
A k value of 3 or -3 results in two real roots that are equal.