Question

If α and β are the zeroes of the polynomial f(x) = x² – 4x – 5 then find the value of α² + β².

Answer 1

α and β are zeroes of the polynomial f(x) = x² – 4x – 5

α + β = \(-\frac{b}{a}\) = 4 and αβ = \(\frac{c}{a}\) = -5, where a = 1, b = –4, c = –5

Now,

α² + β² = (α + β)² - 2αβ

= (4)² - 2(-5)

= 16 + 10

= 26

Comments

Tysm tysm tysm