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|x| + |y| = 13 and x^2 + 7x - 3y + y^2 = ?

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April 28, 2009
analytic geometry

Problem Statement

For real numbers, if |x| \plus{} |y| \equal{} 13, then x^2 \plus{} 7x \minus{} 3y \plus{} y^2 cannot be
<spanclass=′latex−bold′>(A)</span> 208<spanclass=′latex−bold′>(B)</span> 152<spanclass=′latex−bold′>(C)</span> 352<spanclass=′latex−bold′>(D)</span> 37<spanclass=′latex−bold′>(E)</span> None<span class='latex-bold'>(A)</span>\ 208 \qquad<span class='latex-bold'>(B)</span>\ 15\sqrt {2} \qquad<span class='latex-bold'>(C)</span>\ \frac {35}{2} \qquad<span class='latex-bold'>(D)</span>\ 37 \qquad<span class='latex-bold'>(E)</span>\ \text{None}
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