If $x$ and $y$ are integers and $2x + 9y = 57,$ then the least possible value of $x^2 + 2xy + y^2$ is:

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VJesus12: Legendary Member; Posts: 2276; Joined: Sat Oct 14, 2017 6:10 amFollowed by: 3 members

by VJesus12 » Sat Jan 30, 2021 10:52 pm

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If $x$ and $y$ are integers and $2x + 9y = 57,$ then the least possible value of $x^2 + 2xy + y^2$ is:

A. 1
B. 9
C. 16
D. 121
E. 196

Answer: B

Source: Veritas Prep

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Source: Beat The GMAT — Problem Solving | Sat Jan 30, 2021 10:52 pm

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