document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=137660>Question 137660</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two integers is 36 and their product is 128. 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 #100689 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=100689\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of two integers is 36 and their product is 128. Find the integers.<BR>\n" );
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document.write( "Let one of the integers be \"x\"<BR>\n" );
document.write( "The 2nd integer is \"36-x\"<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( "x(36-x) = 128<BR>\n" );
document.write( "-x^2+36x-128 = 0<BR>\n" );
document.write( "x^2-36x+128=0<BR>\n" );
document.write( "x^2-4x-32x+128 = 0<BR>\n" );
document.write( "x(x-4)-32(x-4) = 0<BR>\n" );
document.write( "(x-4)(x-32) = 0<BR>\n" );
document.write( "x = 4 or x=32<BR>\n" );
document.write( "If x=4,(the smaller integer) then 36-x = 32 larger integer<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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