Find the minimum value of
\[2x^2 + 2xy + 4y + 5y^2 - x\]over all real numbers $x$ and $y.$
Question:
Find the minimum value of
\[2x^2 + 2xy + 4y + 5y^2 - x\]over all real numbers $x$ and $y.$
Answer:
Let's think step by step.

user
-\frac{5}{4}
Find the minimum value of
\[2x^2 + 2xy + 4y + 5y^2 - x\]over all real numbers $x$ and $y.$
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