Question

If α and β are the zeroes of the polynomial 2x² – 13x + 6, then α + β is equal to ______.

Options

• – 3

• 3

• `13/2`

• `- 13/2`

Answer 1

If α and β are the zeroes of the polynomial 2x² – 13x + 6, then α + β is equal to `underlinebb(13/2)`.

Explanation:

Given, polynomial: 2x² – 13x + 6

On comparing it with ax² + bx + c, we get

a = 2, b = –13 and c = 6

Since, given a and b are the zeroes of the equation

Thus, sum of zeroes, `α + β = - b/a`

= `-((-13))/2`

= `13/2`