Question 83
Let $a$ be a real number for which the quadratic equations $x^2 + a x + 2 = 0$ and $x^2 + 2x + a = 0$ have real roots. The sum of the squares of the roots of the first equation equals the sum of the squares of the roots of the second equation. What is the value of $a$?
(A) $-4$
(B) $-2$
(C) $0$
(D) $4$
(E) None of the listed values.
(A) $-4$
(B) $-2$
(C) $0$
(D) $4$
(E) None of the listed values.