document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=852907>Question 852907</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let the roots of the equation x2 -4x+2=0 be alpha and beta. find the quadratic equation whose roots are apha-2 and beta-2  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #513740 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=513740\">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=x%5E2-4x%2B2=0 ALIGN=MIDDLE  ALT=\"x%5E2-4x%2B2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=alpha=%284-sqrt%2816-4%282%29%29%29%2F2=%284-sqrt%288%29%29%2F2=%284-2sqrt%282%29%29%2F2=2-sqrt%282%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=beta=2%2Bsqrt%282%29 ALIGN=MIDDLE  ALT=\"beta=2%2Bsqrt%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=alpha-2=2-sqrt%282%29-2=-sqrt%282%29 ALIGN=MIDDLE  ALT=\"alpha-2=2-sqrt%282%29-2=-sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=beta-2=2%2Bsqrt%282%29-2=sqrt%282%29 ALIGN=MIDDLE  ALT=\"beta-2=2%2Bsqrt%282%29-2=sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The requested quadratic equation with roots <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=alpha-2 ALIGN=MIDDLE  ALT=\"alpha-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=beta-2 ALIGN=MIDDLE  ALT=\"beta-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-%28-sqrt%282%29%29%29%28x-sqrt%282%29%29=0 ALIGN=MIDDLE  ALT=\"%28x-%28-sqrt%282%29%29%29%28x-sqrt%282%29%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28x%2Bsqrt%282%29%29%28x-sqrt%282%29%29=0%29 ALIGN=MIDDLE  ALT=\"highlight%28%28x%2Bsqrt%282%29%29%28x-sqrt%282%29%29=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OR More Compactly,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x%5E2-2=0%29 ALIGN=MIDDLE  ALT=\"highlight%28x%5E2-2=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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