Question

If one root of the quadratic equation 2x² + k x – 6 = 0 is 2, the value of k is​

Answer 1

Answer:

The given quadratic equation is 2x2 – px + 4 = 0

One root = 2

Let the other root be α

Then sum of the roots 2 + α = - (- p)/2 = p/2

α = p/2 – 2  ….(i)

The product of the roots

α × 2 = 4/2 = 2

⇒  α = 1

Now   2 + α = p/2

⇒ 2 + 1 = p/2

⇒ p = 6

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