algebra2/trig

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

• algebra2/trig -

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.

• algebra2/trig -

k=6

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