taylor477 taylor477

01-10-2019
Mathematics

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

For what value of k does the equation x25xk60 have equal roots class=

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Аноним Аноним

01-10-2019

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.

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