2345
/www/nrich/html/content/04/weekly/prob21/
1
2010-12-10T09:31:02
<?xml version="1.0" encoding="UTF-8"?>
<mdoxml version="1.0"><br></br>
<p>Given that $x$ and $y$ are positive whole numbers and $x^2 + 2 = y^3$, what possible values can $x$ take?</p>
<p> </p>
<p>If you liked this problem, <a href="http://nrich.maths.org/public/viewer.php?obj_id=1163">here is an NRICH task</a> which challenges you to use similar mathematical ideas.</p></mdoxml>
<?xml version="1.0" encoding="UTF-8"?>
<mdoxml version="1.0"><p>x=5</p>
<p>This is the only solution of the equation for which x and y are whole numbers. Another way of looking at this is to say that 26 is the only whole number "sandwiched" between a perfect square and a perfect cube. This was proved by the French mathematician, Pierre de Fermat, in the 17th Century.</p>
<p> </p></mdoxml>
<?xml version="1.0" encoding="UTF-8"?>
<mdoxml version="1.0">
<p>x=5</p>
<p>This is the only solution of the equation for which x and y are
whole numbers. Another way of looking at this is to say that 26 is
the only whole number "sandwiched" between a perfect square and a
perfect cube. This was proved by the French mathematician, Pierre
de Fermat, in the 17th Century.</p>
</mdoxml>
2
3
0
0
0
0
0
Weekly Problem 51 - 2011
Weekly Problem 51 - 2011