document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=153512>Question 153512</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1/3x^2-3x+14 2/3=2x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #113503 by </B><A HREF=/tutors/aboutme.mpl?userid=orca><B>orca(409)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=orca><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=113503\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First we need to change the equation into the standard form.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F3%29x%5E2-3x%2B14%2B2%2F3=2x ALIGN=MIDDLE  ALT=\"%281%2F3%29x%5E2-3x%2B14%2B2%2F3=2x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F3%29x%5E2-3x%2B44%2F3=2x ALIGN=MIDDLE  ALT=\"%281%2F3%29x%5E2-3x%2B44%2F3=2x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28%281%2F3%29x%5E2-3x%2B44%2F3%29=3%2A2x ALIGN=MIDDLE  ALT=\"3%28%281%2F3%29x%5E2-3x%2B44%2F3%29=3%2A2x\"   DISABLED_style= \"max-width:90%; height:auto;\" >    (multiply both sides by 3)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-9x%2B44=6x ALIGN=MIDDLE  ALT=\"x%5E2-9x%2B44=6x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-15x%2B44=0 ALIGN=MIDDLE  ALT=\"x%5E2-15x%2B44=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "SOLVED BY FACTORING<BR>\n" );
document.write( "The left side of the equation can be factored as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-15x%2B44=%28x-4%29%28x-11%29 ALIGN=MIDDLE  ALT=\"x%5E2-15x%2B44=%28x-4%29%28x-11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "So the equation becomes:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-4%29%28x-11%29=0 ALIGN=MIDDLE  ALT=\"%28x-4%29%28x-11%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so x= 4 or x = 11<BR>\n" );
document.write( "SOLVED BY USING QUADRATIC FORMULA<BR>\n" );
document.write( "Substituting <BR>\n" );
document.write( "a = 1<BR>\n" );
document.write( "b = -15<BR>\n" );
document.write( "c = 44<BR>\n" );
document.write( "into<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;\" >, we have<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-%28-15%29+%2B-+sqrt%28+%28-15%29%5E2-4%2A1%2A44+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-%28-15%29+%2B-+sqrt%28+%28-15%29%5E2-4%2A1%2A44+%29%29%2F%282%2A1%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+=+%2815+%2B-+sqrt%28+225-176+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%2815+%2B-+sqrt%28+225-176+%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2815+%2B-+sqrt%28+49+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%2815+%2B-+sqrt%28+49+%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2815+%2B-+7%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%2815+%2B-+7%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2815+%2B+7%29%2F2+=22%2F2+=+11 ALIGN=MIDDLE  ALT=\"x+=+%2815+%2B+7%29%2F2+=22%2F2+=+11\"   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+=+%2815+-+7%29%2F2+=8%2F2+=+4 ALIGN=MIDDLE  ALT=\"x+=+%2815+-+7%29%2F2+=8%2F2+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );