document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1010246>Question 1010246</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find two positive numbers whose squares have a sum of 25 and a difference of 7 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #625830 by </B><A HREF=/tutors/aboutme.mpl?userid=farohw><B>farohw(175)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=farohw><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=farohw><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=625830\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "Set up your equations then add:\r<BR>\n" );
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document.write( "x²+y² = 25<BR>\n" );
document.write( "x²-y² = 7 <BR>\n" );
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document.write( "2x² = 32\r<BR>\n" );
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document.write( "Solve 2x² = 32 by dividing both sides by 2:\r<BR>\n" );
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document.write( "2x²/2 = 32/2\r<BR>\n" );
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document.write( "x² = 16\r<BR>\n" );
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document.write( "x = 4\r<BR>\n" );
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document.write( "Substitute x = 4 into the first equation to obtain the y value:\r<BR>\n" );
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document.write( "x²+y² = 25\r<BR>\n" );
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document.write( "(4)²+y² = 25\r<BR>\n" );
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document.write( "16+y² = 25\r<BR>\n" );
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document.write( "y² = 25 - 16\r<BR>\n" );
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document.write( "y² = 9\r<BR>\n" );
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document.write( "y = 3 \r<BR>\n" );
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document.write( "Since x = 4 and y = 3, the two positive numbers are 4 and 3.\r<BR>\n" );
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document.write( "Verify:\r<BR>\n" );
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document.write( "4²+3² = 25 => 16+9 = 25\r<BR>\n" );
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document.write( "4²-3² = 7  => 16 - 9 = 7\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );