If α and β are the roots of the equation x^{2} + px + q = 0, then what is α^{2} + β^{2} equal to?

- p
^{2}– 2q - q
^{2}– 2p - p
^{2}+ 2q - q
^{2}– q

**Answer**

Sum of roots = α + β = -p

Product of roots = αβ = q

α^{2} + β^{2} = (α + β)^{2} - 2αβ

= (-p)^{2} - 2q

= p^{2} - 2q

**The correct option is A.**