Question

For what value of k does the equation x^2-5x+(k+6)=0 have equal roots?

Answer 1

Answer:

k = 0.25.

Step-by-step explanation:

For the equation to have equal roots the discriminant b^2 - 4ac = 0.

So for this equation , a = 1, b = -5 and c = (k + 6) so:

(-5)^2 - 4*1*(k + 6) = 0

25 - 4k - 24 = 0

25 - 24 = 4k

4k = 1

k = 1/4

k = 0.25.