document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=77053>Question 77053</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve 1/3x2-1/2x=1/6.  The 2 beside the 1/3x is supposed to represent squared. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #55292 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=55292\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve 1/3x2-1/2x=1/6. The 2 beside the 1/3x is supposed to represent squared.<BR>\n" );
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document.write( "(1/3)x^2 - (1/2)x = 1/6<BR>\n" );
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document.write( "Get rid of those denominators, multiply equation by 6 and you have:<BR>\n" );
document.write( "2x^2 - 3x = 1<BR>\n" );
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document.write( "2x^2 - 3x - 1 = 0; subtracted 1 from both sides, a quadratic equation<BR>\n" );
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document.write( "Use the quadratic formula to find x; a=2; b=-3; c = -1<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" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-%28-3%29+%2B-+sqrt%28+%28-3%29%5E2+-+4+%2A+2+%2A+-1+%29%29%2F%282%2A2%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-%28-3%29+%2B-+sqrt%28+%28-3%29%5E2+-+4+%2A+2+%2A+-1+%29%29%2F%282%2A2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28%2B3+%2B-+sqrt%28+9+-+%28-8%29+%29%29%2F%284%29+ ALIGN=MIDDLE  ALT=\"x+=+%28%2B3+%2B-+sqrt%28+9+-+%28-8%29+%29%29%2F%284%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28%2B3+%2B-+sqrt%28+9+%2B+8+%29%29%2F%284%29+ ALIGN=MIDDLE  ALT=\"x+=+%28%2B3+%2B-+sqrt%28+9+%2B+8+%29%29%2F%284%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28%2B3+%2B-+sqrt%2817%29%29%2F%284%29+ ALIGN=MIDDLE  ALT=\"x+=+%28%2B3+%2B-+sqrt%2817%29%29%2F%284%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28%2B3+%2B-+sqrt%28+9+-+%28-8%29+%29%29%2F%284%29+ ALIGN=MIDDLE  ALT=\"x+=+%28%2B3+%2B-+sqrt%28+9+-+%28-8%29+%29%29%2F%284%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28%2B3+%2B-+sqrt%28+9+%2B+8%29%29%2F%284%29+ ALIGN=MIDDLE  ALT=\"x+=+%28%2B3+%2B-+sqrt%28+9+%2B+8%29%29%2F%284%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28%2B3+%2B-+sqrt%2817%29%29%2F%284%29+ ALIGN=MIDDLE  ALT=\"x+=+%28%2B3+%2B-+sqrt%2817%29%29%2F%284%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28%2B3+%2B+4.123%29%2F%284%29+ ALIGN=MIDDLE  ALT=\"x+=+%28%2B3+%2B+4.123%29%2F%284%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >: 1st solution<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+7.123%2F4 ALIGN=MIDDLE  ALT=\"x+=+7.123%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = +1.78<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28%2B3+-4.123%29%2F%284%29+ ALIGN=MIDDLE  ALT=\"x+=+%28%2B3+-4.123%29%2F%284%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >: 2nd solution<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-1.123%29%2F%284%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-1.123%29%2F%284%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = -.28<BR>\n" );
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document.write( "Check x = 1.78 in the original equation:<BR>\n" );
document.write( "(1/3)1.78^2 - (1/2)1.78 = 1/6<BR>\n" );
document.write( "(1/3)3.17 - (1/2)1.78 = 1/6<BR>\n" );
document.write( " 1.056 - .89 = .166 which is about 1/6<BR>\n" );
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document.write( "I'll let you check the x = -.28 solution </SPAN>\n" );
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