document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=4651>Question 4651</A>: <I><SPAN STYLE=\"word-break: break-all;\"> urgent....need help?\r<BR>\n" );
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document.write( "the difference of two numbers is 11, and their product is 42. Find these numbers.\r<BR>\n" );
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document.write( "choices:<BR>\n" );
document.write( "a. -14 and 3<BR>\n" );
document.write( "b. -3 and 14<BR>\n" );
document.write( "c. pair -14 and 3, -3 and 14<BR>\n" );
document.write( "d. pair -14 and 3, 3 and 14\r<BR>\n" );
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document.write( "respond asap </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #2168 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=2168\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the two numbers be x and y:\r<BR>\n" );
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document.write( "Then:<BR>\n" );
document.write( "x - y = 11  Rewrite this as:  x = 11 + y and substitute into the 2nd equation.<BR>\n" );
document.write( "xy = 42\r<BR>\n" );
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document.write( "(11 + y)y = 42  Simplify.<BR>\n" );
document.write( "y^2 + 11y - 42 = 0  Solve by factoring.\r<BR>\n" );
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document.write( "(y + 14)(y - 3) = 0  Apply the zero products principle.\r<BR>\n" );
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document.write( "y - 3 = 0; y = 3  or<BR>\n" );
document.write( "y + 14 = 0; y = -14  \r<BR>\n" );
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document.write( "x = 11 + y<BR>\n" );
document.write( "x = 11 + 3 = 14  or<BR>\n" );
document.write( "x = 11 + (-14) = -3\r<BR>\n" );
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document.write( "The numbers are:  14 and 3 or -3 and -14\r<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( "  14-3 = 11 and 14(3) = 42 or<BR>\n" );
document.write( "-3-(-14) = 11 and (-3)(-14) = 42<BR>\n" );
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