Question

If x=3 is one root of thr quadratic equation x^2-2x-6=0 then find the value of k.

Answer 1

As x=3 is the answer to it so
Putting it in the eq we get
3×3 - 2k ×3-6 =0
9-6k-6=0
3-6k =0
3=6k
K=1/2
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Answer 2

Hey friend, Harish here.

Here is your answer:

Given ,

1) An polynomial x² - 2kx -6 = f(x).

2) x = 3 is a factor,

To find,

The value  of k.

Solution,


As x =3 is a factor , then if we substitute x = 3 we get, f(x) = 0.

Then,

f(3) = 3² - 2 k (3) - 6 =0

         9 - 6k -6 =0 

         6k = 3.

          k = 1/2.
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Hope my answer is helpful to you.