<PRE><B>Question 1199929</B>
&lt;pre&gt;
Find the product xy, where x and y are positive integers and {{{0=3x^4-x^3*y-9317}}}
                 {{{system(matrix(1,3, 0, &quot;=&quot;, 3x^4 - x^3y - &quot;9,317&quot;), or, matrix(1,3, 3x^4 - x^3y, &quot;=&quot;, &quot;9,317&quot;))}}}

                 {{{system(matrix(1,3, x^3(3x - y), &quot;=&quot;, 7(11^3)), or, matrix(1,3, x^3(3x - y), &quot;=&quot;, (11^3)7))}}} ---- Prime factors of 9,317: &lt;b&gt;&lt;font color = red&gt;&lt;font size = 4&gt;7(11&lt;sup&gt;3&lt;/sup&gt;&lt;/font&gt;&lt;/font&gt;&lt;/b&gt;), or &lt;b&gt;&lt;font color = red&gt;&lt;font size = 4&gt;(11&lt;sup&gt;3&lt;/sup&gt;)7&lt;/font&gt;&lt;/font&gt;&lt;/b&gt;

                 {{{system(matrix(1,7, x^3, &quot;=&quot;, 7, and, 3x - y, &quot;=&quot;, 11^3), or, matrix(1,7, x^3, &quot;=&quot;, 11^3, and, 3x - y, &quot;=&quot;, 7))}}} ------ Equating terms on left and right sides

                      {{{matrix(1,3, x^3 &lt;&gt; 7, and, 3x - y &lt;&gt; 11^3)}}}, since x and y will NOT be INTEGERS, and it&#39;s stated that x and y are POSITIVE INTEGERS.

           Therefore, {{{matrix(1,3, x^3, &quot;=&quot;, 11^3)}}} and so, &lt;b&gt;&lt;font color = red&gt;&lt;font size = 4&gt;x = 11&lt;/font&gt;&lt;/font&gt;&lt;/b&gt; (EXPONENTS are equal and so are their BASES).
                           Also, {{{matrix(6,3, 3x - y, &quot;=&quot;, 7, 3(11) - y, &quot;=&quot;, 7, - y, &quot;=&quot;, 7 - 33, - y, &quot;=&quot;, - 26,  y, &quot;=&quot;, (- 26)/(- 1), highlight(y), &quot;=&quot;, highlight(26))}}}

                                  So, {{{highlight_green(matrix(1,5, xy, &quot;=&quot;, 11(26), &quot;=&quot;, 286))}}}&lt;/pre&gt;</PRE>