algebra2/trig
posted by jackie .
for what are value of k are the roots of 3x^26x+k=0 equal?

For the roots of the quadratic equation
ax^2+bx+c=0
to be equal, the discriminant Δ must equal to zero, where
Δ=b^24ac...(1)
For the given equation
3x^26x+k=0
a=3,b=6, c=k
Substitute a,b,and c in (1), equate to zero and solve for k.
Post your answer for checking if you wish. 
k=6