document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=153153>Question 153153</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find two positive real numbers that differ by 2 and have a product of 10. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #112664 by </B><A HREF=/tutors/aboutme.mpl?userid=orca><B>orca(409)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=orca><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=112664\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let one number be x, then the other one can be expressed as x + 2.<BR>\n" );
document.write( "As their product is 10, we have<BR>\n" );
document.write( "x(x + 2) = 10<BR>\n" );
document.write( "expanding the left side, we have<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+2x+=+10 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+2x+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Completing square, we have<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+2x+%2B+1+=+1+%2B+10 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+2x+%2B+1+=+1+%2B+10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B+1%29%5E2+=+11 ALIGN=MIDDLE  ALT=\"%28x+%2B+1%29%5E2+=+11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-1%2B-+sqrt%2811%29+ ALIGN=MIDDLE  ALT=\"x+=+-1%2B-+sqrt%2811%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-1%2Bsqrt%2811%29 ALIGN=MIDDLE  ALT=\"x+=+-1%2Bsqrt%2811%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-1-sqrt%2811%29 ALIGN=MIDDLE  ALT=\"x+=+-1-sqrt%2811%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So there are two solution to this problem:<BR>\n" );
document.write( "(1)<BR>\n" );
document.write( "one number is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-1%2Bsqrt%2811%29 ALIGN=MIDDLE  ALT=\"x+=+-1%2Bsqrt%2811%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The other is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2+=+-1%2Bsqrt%2811%29%2B2=1%2Bsqrt%2811%29 ALIGN=MIDDLE  ALT=\"x%2B2+=+-1%2Bsqrt%2811%29%2B2=1%2Bsqrt%2811%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2)<BR>\n" );
document.write( "one number is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-1-sqrt%2811%29 ALIGN=MIDDLE  ALT=\"x+=+-1-sqrt%2811%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "the other is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2+=+-1-sqrt%2811%29%2B2=1-sqrt%2811%29 ALIGN=MIDDLE  ALT=\"x%2B2+=+-1-sqrt%2811%29%2B2=1-sqrt%2811%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );