Question

for what are value of k are the roots of 3x^2-6x+k=0 equal?

Answer 1

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^2-4ac...(1)

For the given equation
3x^2-6x+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.

Answer 2

k=6