Let $a, b, c$ be real numbers such that $a = a^2 + b^2 + c^2$. What is the smallest possible value of $b$? (A) 0 (B) $-1$ (C) $-\frac{1}{4}$ (D) $-\frac{1}{2}$.
Let $a, b, c$ be real numbers such that $a = a^2 + b^2 + c^2$. What is the smallest possible value of $b$?\\
(A) 0\\
(B) $-1$\\
(C) $-\frac{1}{4}$\\
(D) $-\frac{1}{2}$.