Answer:
Step-by-step explanation:
Look at the determinant.
a = k
b = 1
c = k
sqrt(b^2 - 4*k*k)
sqrt(1 - 4k^2)
The only way this can work out to repeated solutions is if k = +/- 1/2
That way 1 - 4(1/2)^2 = 0 or 1 - 4*(-1/2)^2 = 0
That way both solutions will be
-b / 2a
-1 / 2/(1/2) = - 1
or
-1 / 2(-1/2) = 1
So the answer is k = 1/2, - 1/2
