document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=766122>Question 766122</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Give the quadratic equation whose roots are twice as large as the roots of the given equation: ax^2+bx+c=0 a is not equal to 0. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #466690 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=466690\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Highly believing that 'a' will not be affected, an attempt at guessing is tried, not really the best approach:\r<BR>\n" );
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document.write( "ax^2+2b+2c=0<BR>\n" );
document.write( "roots be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x=%28-2b%2B-+2%2Asqrt%28b%5E2-a%2A2%2Ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"+x=%28-2b%2B-+2%2Asqrt%28b%5E2-a%2A2%2Ac%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "But seems to fail.  Looking as 4c as replacement for c will be better, try:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2%2B2b%2B4c=0 ALIGN=MIDDLE  ALT=\"ax%5E2%2B2b%2B4c=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-2b%2B-+sqrt%284b%5E2-4%2Aa%2A4c%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x=%28-2b%2B-+sqrt%284b%5E2-4%2Aa%2A4c%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-2b%2B-+2%2Asqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x=%28-2b%2B-+2%2Asqrt%28b%5E2-4ac%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-b%2B-+sqrt%28b%5E2-4ac%29%29%2Fa ALIGN=MIDDLE  ALT=\"x=%28-b%2B-+sqrt%28b%5E2-4ac%29%29%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" >, yes, this root pair is twice what we normally have in our solution formula.\r<BR>\n" );
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document.write( "COMPARE:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2%2Bbx%2Bc=0 ALIGN=MIDDLE  ALT=\"ax%5E2%2Bbx%2Bc=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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;\" >\r<BR>\n" );
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document.write( "versus\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2%2B2b%2B4c=0 ALIGN=MIDDLE  ALT=\"ax%5E2%2B2b%2B4c=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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%28a%29 ALIGN=MIDDLE  ALT=\"x=%28-b%2B-+sqrt%28b%5E2-4ac%29%29%2F%28a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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