document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=358875>Question 358875</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The difference between two positive integers is 5. If the smaller is added to the square of the larger, the sum is 105. 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 #256073 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=256073\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The difference between two positive integers is 5. If the smaller is added to the square of the larger, the sum is 105. Find the integers.<BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "x - y = 5<BR>\n" );
document.write( "y + x^2 = 105<BR>\n" );
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document.write( "Substitute for \"y\" and solve for \"x\":<BR>\n" );
document.write( "y = x-5<BR>\n" );
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document.write( "x-5 + x^2 = 105<BR>\n" );
document.write( "x^2 +x -110 = 0<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "(x+11)(x-10) = 0<BR>\n" );
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document.write( "Positive solution:<BR>\n" );
document.write( "x = 10<BR>\n" );
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document.write( "Since y = x-5, y = 5<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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