If α and β are th

When we compare the above quadratic equation with the generalized one we get,

ax² + bx + c = 0

∴ a = 1

b = -p

c = q

Sum of zeroes = -b / a

= - (-p) / 1

α + β = p

Product of zeroes = c / a

= q / 1

αβ = q

(i) α² + β²

(α + β) ² = α² + β² + 2αβ

α² + β² = (α + β) ² - 2αβ

= (p) ² – 2q

= p² – 2q

(ii)