document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=4306>Question 4306</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Quadratic equations:\r<BR>\n" );
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document.write( "Find two possitive numbers that differ by 2 and have a producy of 20. \r<BR>\n" );
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document.write( "The answer is -1 + squareroot of 21 and 1 + squareroot of 21.\r<BR>\n" );
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document.write( "How do I at the answer. (need steps)\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #1968 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=1968\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First, assign the variables:  \r<BR>\n" );
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document.write( "Let the two numbers be x and y\r<BR>\n" );
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document.write( "Then:  x - y = 2   Rewrite as: x = y + 2 and substitute into the 2nd equation.<BR>\n" );
document.write( "  and  xy = 20\r<BR>\n" );
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document.write( "(y+2)y = 20<BR>\n" );
document.write( "y^2 + 2y = 20<BR>\n" );
document.write( "y^2 + 2y - 20 = 0  Solve by use of the quadratic formula:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-b%2B-sqrt%28b%5E2-4%2Aa%2Ac%29%29%2F%282%2Aa%29 ALIGN=MIDDLE  ALT=\"y=%28-b%2B-sqrt%28b%5E2-4%2Aa%2Ac%29%29%2F%282%2Aa%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-2%2B-sqrt%28-2%5E2-4%2A1%2A%28-20%29%29%29%2F%282%2A1%29 ALIGN=MIDDLE  ALT=\"y=%28-2%2B-sqrt%28-2%5E2-4%2A1%2A%28-20%29%29%29%2F%282%2A1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-2%2B-sqrt%284%2B80%29%29%2F%282%29 ALIGN=MIDDLE  ALT=\"y=%28-2%2B-sqrt%284%2B80%29%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-2%2B-sqrt%284%2A21%29%29%2F%282%29 ALIGN=MIDDLE  ALT=\"y=%28-2%2B-sqrt%284%2A21%29%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-2%2B-2sqrt%2821%29%29%2F%282%29 ALIGN=MIDDLE  ALT=\"y=%28-2%2B-2sqrt%2821%29%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-1%2B-sqrt%2821%29 ALIGN=MIDDLE  ALT=\"y=-1%2B-sqrt%2821%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "x = y + 2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2%2B%28-1%2B-sqrt%2821%29%29 ALIGN=MIDDLE  ALT=\"x=2%2B%28-1%2B-sqrt%2821%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1%2B-sqrt%2821%29 ALIGN=MIDDLE  ALT=\"x=1%2B-sqrt%2821%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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