document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=125953>Question 125953</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One team scored 4 runs less than the other team.  The average of the squares of their scores was 53.  What are their scores? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #92330 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=92330\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One team scored 4 runs less than the other team.  The average of the squares of their scores was 53.  What are their scores?<BR>\n" );
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document.write( "Let x = score of one team<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(x+4) = score of another team<BR>\n" );
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document.write( "WRite an equation for this statement:<BR>\n" );
document.write( "\"The average of the squares of their scores was 53.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2+%2B+%28x%2B4%29%5E2%29%2F2 ALIGN=MIDDLE  ALT=\"%28x%5E2+%2B+%28x%2B4%29%5E2%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 53<BR>\n" );
document.write( "Multiply equation by 2 to get rid of the denominator<BR>\n" );
document.write( "x^2 + (x+4)^2 = 2(53) <BR>\n" );
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document.write( "x^2 + x^2 + 8x + 16 = 106; FOILed (x+4)(x+4)<BR>\n" );
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document.write( "2x^2 + 8x + 16 - 106 = 0<BR>\n" );
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document.write( "2x^2 + 8x - 90 = 0; our old friend, the quadratic equation appears!!!<BR>\n" );
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document.write( "This factors to:<BR>\n" );
document.write( "(2x - 10)(x + 9) = 0<BR>\n" );
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document.write( "Positive solution<BR>\n" );
document.write( "2x = 10 <BR>\n" );
document.write( "x = 10/2<BR>\n" );
document.write( "x = 5 one team's score<BR>\n" );
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document.write( "Another team's score: 5 + 4 = 9<BR>\n" );
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document.write( "Check solutions in the statement<BR>\n" );
document.write( "\"\"The average of the squares of their scores was 53.\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%5E2+%2B+9%5E2%29%2F2 ALIGN=MIDDLE  ALT=\"%285%5E2+%2B+9%5E2%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2825+%2B+81%29%2F2 ALIGN=MIDDLE  ALT=\"%2825+%2B+81%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > =<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=106%2F2 ALIGN=MIDDLE  ALT=\"106%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 53<BR>\n" );
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document.write( " </SPAN>\n" );
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