document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1187914>Question 1187914</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the roots of 2x^2 +3x-1=0 are alpha and beta. Find the values of alpha square -beta square\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 #818938 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=818938\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2+%2B3x-1=0+ ALIGN=MIDDLE  ALT=\"2x%5E2+%2B3x-1=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=alpha+ ALIGN=MIDDLE  ALT=\"alpha+\"   DISABLED_style= \"max-width:90%; height:auto;\" >and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=beta ALIGN=MIDDLE  ALT=\"beta\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "find roots using quadratic formula\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29+ ALIGN=MIDDLE  ALT=\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >......<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=2 ALIGN=MIDDLE  ALT=\"a=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=3%2C+and+%7B%7B%7Bc=-1 ALIGN=MIDDLE  ALT=\"b=3%2C+and+%7B%7B%7Bc=-1\"   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=%28-3%2B-sqrt%283%5E2-4%2A2%28-1%29%29%29%2F%282%2A2%29+ ALIGN=MIDDLE  ALT=\"x=%28-3%2B-sqrt%283%5E2-4%2A2%28-1%29%29%29%2F%282%2A2%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=%28-3%2B-sqrt%289%2B8%29%29%2F4+ ALIGN=MIDDLE  ALT=\"x=%28-3%2B-sqrt%289%2B8%29%29%2F4+\"   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=%28-3%2B-sqrt%2817%29%29%2F4+ ALIGN=MIDDLE  ALT=\"x=%28-3%2B-sqrt%2817%29%29%2F4+\"   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=alpha+=%28-3%2Bsqrt%2817%29%29%2F4+ ALIGN=MIDDLE  ALT=\"alpha+=%28-3%2Bsqrt%2817%29%29%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=beta=%28-3-sqrt%2817%29%29%2F4+ ALIGN=MIDDLE  ALT=\"beta=%28-3-sqrt%2817%29%29%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Find the values of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=alpha%5E2+-beta%5E2 ALIGN=MIDDLE  ALT=\"alpha%5E2+-beta%5E2\"   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=alpha%5E2+-beta%5E2=%28%28-3%2Bsqrt%2817%29%29%2F4+%29%5E2-%28%28-3-sqrt%2817%29%29%2F4+%29%5E2 ALIGN=MIDDLE   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=alpha%5E2+-beta%5E2=%28-3%2Bsqrt%2817%29%29%5E2%2F16+-%28-3-sqrt%2817%29%29%5E2%2F16 ALIGN=MIDDLE  ALT=\"alpha%5E2+-beta%5E2=%28-3%2Bsqrt%2817%29%29%5E2%2F16+-%28-3-sqrt%2817%29%29%5E2%2F16\"   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=alpha%5E2+-beta%5E2=%2826+-+6+sqrt%2817%29%29%2F16+-%2826+%2B+6+sqrt%2817%29%29%2F16 ALIGN=MIDDLE  ALT=\"alpha%5E2+-beta%5E2=%2826+-+6+sqrt%2817%29%29%2F16+-%2826+%2B+6+sqrt%2817%29%29%2F16\"   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=alpha%5E2+-beta%5E2=%2826+-+6+sqrt%2817%29+-26+-+6+sqrt%2817%29%29%2F16 ALIGN=MIDDLE  ALT=\"alpha%5E2+-beta%5E2=%2826+-+6+sqrt%2817%29+-26+-+6+sqrt%2817%29%29%2F16\"   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=alpha%5E2+-beta%5E2=%28+-+12+sqrt%2817%29%29%2F16 ALIGN=MIDDLE  ALT=\"alpha%5E2+-beta%5E2=%28+-+12+sqrt%2817%29%29%2F16\"   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=alpha%5E2+-beta%5E2=-%283sqrt%2817%29%29%2F4 ALIGN=MIDDLE  ALT=\"alpha%5E2+-beta%5E2=-%283sqrt%2817%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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