document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=109323>Question 109323</A>: <I><SPAN STYLE=\"word-break: break-all;\"> one positive integer is 7 less than twice another. the sum of their squares is 346. find the integers\r<BR>\n" );
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document.write( "i dont understand how to set this up </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #79787 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=79787\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You set it up by writing exactly what it says <BR>\n" );
document.write( "(think of the word \"is\" as meaning equal \"=\")<BR>\n" );
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document.write( "Let x = \"one positive integer<BR>\n" );
document.write( "Let y = \"another positive integer<BR>\n" );
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document.write( "One positive integer is 7 less than twice another<BR>\n" );
document.write( "   x = 2y - 7<BR>\n" );
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document.write( "the sum of their squares is 346. <BR>\n" );
document.write( "  x^2 + y^2 = 346 <BR>\n" );
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document.write( "Find the integers<BR>\n" );
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document.write( "From the 1st statement, we know that x = (2y-7),<BR>\n" );
document.write( "x^2 + y^2 = 346<BR>\n" );
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document.write( "Substitute (2y-7) for x in the above equation<BR>\n" );
document.write( "(2y-7)^2 + y^2 = 346<BR>\n" );
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document.write( "FOIL (2y-7)(2y-7)<BR>\n" );
document.write( "4y^2 - 28y + 49 + y^2 = 346<BR>\n" );
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document.write( "5y^2 - 28y + 49 - 346 = 0<BR>\n" );
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document.write( "5y^2 - 28y - 297 = 0<BR>\n" );
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document.write( "We probably should use the quadratic formula, however,<BR>\n" );
document.write( "we know the positive solution has to be an integer, <BR>\n" );
document.write( "let's play around with the factors of 297, we come up with:<BR>\n" );
document.write( "(5y + 27) (y - 11) = 0<BR>\n" );
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document.write( "y = +11<BR>\n" );
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document.write( "x = 2(11) - 7<BR>\n" );
document.write( "x = 22 - 7<BR>\n" );
document.write( "x = 15<BR>\n" );
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document.write( "Check our solutions:<BR>\n" );
document.write( "11^2 + 15^2 =<BR>\n" );
document.write( "121 + 225 = 346 </SPAN>\n" );
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