document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=2855>Question 2855</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the quadratic equation by the formula:<BR>\n" );
document.write( "x^2-8x+14=0<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 #1229 by </B><A HREF=/tutors/aboutme.mpl?userid=xcentaur><B>xcentaur(357)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=xcentaur><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=1229\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Compare with standard form<BR>\n" );
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( "We get,<BR>\n" );
document.write( "a=1,b=8,c=14.<BR>\n" );
document.write( "Formula for Quadratic Equations is:\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%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;\" >\r<BR>\n" );
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document.write( "Then substituting the values of a,b and c,we get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-8+%2B-+sqrt%28+8%5E2-4%2A1%2A14+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-8+%2B-+sqrt%28+8%5E2-4%2A1%2A14+%29%29%2F%282%2A1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Then step by step we get,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-8+%2B-+sqrt%28+64-4%281%29%2814%29+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%28-8+%2B-+sqrt%28+64-4%281%29%2814%29+%29%29%2F2+\"   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+=+%28-8+%2B-+sqrt%28+64-56+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%28-8+%2B-+sqrt%28+64-56+%29%29%2F2+\"   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+=+%28-8+%2B-+sqrt%28+8+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%28-8+%2B-+sqrt%28+8+%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Therefore we have 2 values possible for x,which are:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-8+%2B+sqrt%28+8+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%28-8+%2B+sqrt%28+8+%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > OR <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-8+-+sqrt%28+8+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%28-8+-+sqrt%28+8+%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Note that square root of 8 is: 2.828\r<BR>\n" );
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document.write( "On further solving as per formula,we get possible values of x as:\r<BR>\n" );
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document.write( "(-8+2.828)/2 OR (-8-2.828)/2\r<BR>\n" );
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document.write( "Resulting in rounded off values of x as:\r<BR>\n" );
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document.write( "-2.586 OR -5.414\r<BR>\n" );
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document.write( "Therefore,<BR>\n" );
document.write( "Solution Set={-2.586,-5.414}\r<BR>\n" );
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document.write( "Hope you followed this,<BR>\n" );
document.write( "Best of luck. </SPAN>\n" );
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