document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=946914>Question 946914</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One positive integer is 5  more than twice another.  The sum of their squares is 185 .  Find the integers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #805599 by </B><A HREF=/tutors/aboutme.mpl?userid=CubeyThePenguin><B>CubeyThePenguin(3113)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CubeyThePenguin><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=CubeyThePenguin><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=805599\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = larger integer<BR>\n" );
document.write( "y = smaller integer\r<BR>\n" );
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document.write( "x = 2y + 5<BR>\n" );
document.write( "x^2 + y^2 = 185\r<BR>\n" );
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document.write( "Substitute the first equation into the second equation.\r<BR>\n" );
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document.write( "(2y - 5)^2 + y^2 = 185<BR>\n" );
document.write( "(4y^2 - 20y + 25) + y^2 = 185<BR>\n" );
document.write( "5y^2 - 20y - 160 = 0<BR>\n" );
document.write( "y^2 - 4y - 32 = 0<BR>\n" );
document.write( "(y + 8)(y - 4) = 0\r<BR>\n" );
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document.write( "The integers are positive, so y = 4.\r<BR>\n" );
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document.write( "The integers are x = 13 or y = 4. </SPAN>\n" );
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