Let $\mathbf { a }$ and $\mathbf { b }$ be real numbers such that $$\begin{aligned}
& a ^ { 2 } - a = b ^ { 2 } - b \\
& a \cdot b = - 1
\end{aligned}$$ Given this, what is the sum $a ^ { 2 } + b ^ { 2 }$? A) 6 B) 5 C) 4 D) 3 E) 2
Let $\mathbf { a }$ and $\mathbf { b }$ be real numbers such that
$$\begin{aligned}
& a ^ { 2 } - a = b ^ { 2 } - b \\
& a \cdot b = - 1
\end{aligned}$$
Given this, what is the sum $a ^ { 2 } + b ^ { 2 }$?\\
A) 6\\
B) 5\\
C) 4\\
D) 3\\
E) 2