Question

If alpha and beta are the roots of a quadratic equation 2x^2+kx-7=0, such that sum of the roots is twice their product ,then the value of k is?

Answer 1

k = 14

Step-by-step explanation:

it is given above ..........

Answer 2

The value of k is equal to 14.

Step-by-step explanation:

Given,

α and β are the roots of a quadratic equation $2x^2+kx-7=0$

Here, a = 2, b = k and c = - 7

To find, the value of k = ?

According to question,

α + β = 2(αβ)

⇒ $\dfrac{-k}{2} =2(\dfrac{-7}{2})$

⇒ $\dfrac{-k}{2} =-7$

⇒ k = 14

∴ The value of k = 14

Thus, the value of k is equal to 14.