Question

If α and β are zeroes of the polynomial 2x² − 9x + 5, then value of α² + β² is ______.

Options

• `1/4`

• `61/4`

• 1

• `71/4`

Answer 1

If α and β are zeroes of the polynomial 2x² − 9x + 5, then value of α² + β² is `bbunderline(61/4)`.

Explanation:

2x² − 9x + 5

α + β = `9/2`

αβ = `5/2`

α² + β² = (α + β) − 2αβ

= `(9/2)^2 -2 xx 5/2`

= `81/4 - 5`

= `61/4`