document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=25681>Question 25681</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone please help me with this problem?  I am stumped!  This is the problem:  \r<BR>\n" );
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document.write( "Show how the quadratic formula can be expressed as:  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-p%2F2 ALIGN=MIDDLE  ALT=\"-p%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >±<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt%28+p%5E2%2F4-q+%29+ ALIGN=MIDDLE  ALT=\"+sqrt%28+p%5E2%2F4-q+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "let p=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2Fa ALIGN=MIDDLE  ALT=\"b%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > and q=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%2Fa ALIGN=MIDDLE  ALT=\"c%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "It says that it can be derived by \"completing\" the square of a quadratic equation.  A response to this problem would really make my day!   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #13802 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=13802\">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=-p%2F2 ALIGN=MIDDLE  ALT=\"-p%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >±<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt%28+p%5E2%2F4-q+%29+ ALIGN=MIDDLE  ALT=\"+sqrt%28+p%5E2%2F4-q+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "let p=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2Fa ALIGN=MIDDLE  ALT=\"b%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > and q=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%2Fa ALIGN=MIDDLE  ALT=\"c%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "It says that it can be derived by \"completing\" the square of a quadratic equation.  A response to this problem would really make my day!  \r<BR>\n" );
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document.write( "SUBSTITUTE IN THE ANSWER GIVEN BELOW YOUR NOMENCLATURE THAT <BR>\n" );
document.write( " p=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2Fa ALIGN=MIDDLE  ALT=\"b%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > and q=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%2Fa ALIGN=MIDDLE  ALT=\"c%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" >..AND YOU WILL GET YOUR ANSWER<BR>\n" );
document.write( "LET THE QUADRATIC BE<BR>\n" );
document.write( " AX^2+BX+C=0...SINCE THIS IS A QUADRATIC ,A IS NOT EQUAL TO ZERO..SO DIVIDING WITH A WE GET <BR>\n" );
document.write( "X^2+BX/A+C/A=0<BR>\n" );
document.write( "WRITE IT AS A PERFECT SQUARE USING X^2 AND X TERMS<BR>\n" );
document.write( "{X^2+2*X*(B/2A)+(B/2A)^2}-(B/2A)^2+C/A=0 <BR>\n" );
document.write( "{X+(B/2A)}^2=(B/2A)^2-C/A=B^2/4A^2-C/A=(B^2-4AC)/4A^2<BR>\n" );
document.write( "TAKING SQUARE ROOT <BR>\n" );
document.write( "X+B/2A=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28PLUS+OR+MINUS+sqrt%28+B%5E2-4%2AA%2AC+%29%29%2F%282%2AA%29+ ALIGN=MIDDLE  ALT=\"%28PLUS+OR+MINUS+sqrt%28+B%5E2-4%2AA%2AC+%29%29%2F%282%2AA%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "OR<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-B+%2B-+sqrt%28+B%5E2-4%2AA%2AC+%29%29%2F%282%2AA%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-B+%2B-+sqrt%28+B%5E2-4%2AA%2AC+%29%29%2F%282%2AA%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "THIS IS THE GENERAL METHOD OF DERIVATION OF ROOTS OF A QUADRATIC EQUATION.  </SPAN>\n" );
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