Question

If the sum of zeroes of the polynomial `p(x) = 2x^2 - ksqrt2x + 1  "is"  sqrt2`  then value of k is ______.

Options

• `sqrt2`

• 2

• `2sqrt2`

• `1/2`

Answer 1

If the sum of zeroes of the polynomial `p(x) = 2x^2 - ksqrt2x + 1  "is"  sqrt2`  then value of k is 2.

Explanation:

Given polynomial is 

`p(x) = 2x^2 - ksqrt2x + 1`

Sum of zeros = `(-("Coefficient of x"))/("Coefficient of"  x^2)`

`sqrt2 = (-(-ksqrt2))/(2)`   ...[Given, sum of zeroes = `sqrt2`]

∴ k = 2