<p>Find all pairs of intergers x and y such that "x squared minus y squared equals 104."</p>
<p>I appreciate the help.</p>
<p>x^2 - y^2 = 104
(x+y)(x-y) = 104</p>
<p>Two integers are multiplied together to form 104. Factor 104:
104 = 52 * 2, 26 * 4, or 13 * 8</p>
<p>Now go through each case to see what possibilities there are.
52 * 2
(x+y) = 52 and (x-y) = 2
x = 27, y = 25</p>
<p>26 * 4
(x+y) = 26 and (x-y) = 4
x = 15, y = 11</p>
<p>8 * 13
(x+y) = 8 and (x-y) = 13
No integer solutions</p>
<p>So (15,11) and (27,25) are your solutions. This reminds me of a problem I did during math team. What is this doing in "SAT Preparation"?</p>