Question

if alpha and beta are zeros of polynomial 2 x square - 4 x + 5 find the value of a square + b square

Answer 1

We know,
$a + b = - \frac{ - 4}{2} = 2 \\ ab = \frac{5}{2} \\ (a + b)^{2} = 4 \\ {a}^{2} + {b}^{2} + 2ab = 4$
Put,
$ab = \frac{5}{2}$
To get, a²+b².