Question

if p and q are zeros of polynomial f(x)=2x-7x+3 find value of p2+q2

Answer 1

$p + q = \frac{ - b}{a} = \frac{7}{2} \\ pq = \frac{c}{a} = \frac{3}{2} \\ {p}^{2} + {q}^{2} = {(p + q)}^{2} - 2pq \\ \frac{49}{4} - 3 \\ = \frac{37}{4}$