document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=441189>Question 441189</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The product of two numbers is 30 and the average 6. What are these numbers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #304573 by </B><A HREF=/tutors/aboutme.mpl?userid=Gogonati><B>Gogonati(855)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Gogonati><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/cgi-bin/show-face.mpl?user=Gogonati><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=304573\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x the first unknown number, since their product is 30 the other unknown\r<BR>\n" );
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document.write( "number is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2Fx ALIGN=MIDDLE  ALT=\"30%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and their average is:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B30%2Fx%29%2F2=%28x%5E2%2B30%29%2F2x%29 ALIGN=MIDDLE  ALT=\"%28x%2B30%2Fx%29%2F2=%28x%5E2%2B30%29%2F2x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "This average <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2B30%29%2F2x=6 ALIGN=MIDDLE  ALT=\"%28x%5E2%2B30%29%2F2x=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >, solving this quadratic equation we get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-12x%2B30=0 ALIGN=MIDDLE  ALT=\"x%5E2-12x%2B30=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%2812%2B-sqrt%2812%5E2-120%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=%2812%2B-sqrt%2812%5E2-120%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, two values for the first \r<BR>\n" );
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document.write( "number x:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=6%2Bsqrt%286%29 ALIGN=MIDDLE  ALT=\"x=6%2Bsqrt%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%7Bx=6-sqrt%286%29 ALIGN=MIDDLE  ALT=\"%7Bx=6-sqrt%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "We have also two values for the second number:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2F%286%2Bsqrt%286%29%29 ALIGN=MIDDLE  ALT=\"30%2F%286%2Bsqrt%286%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and, \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2F%286-sqrt%286%29%29 ALIGN=MIDDLE  ALT=\"30%2F%286-sqrt%286%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. As you see the problem has two solutions. </SPAN>\n" );
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