document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=449462>Question 449462</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following equation by using the quadratic formula. (Enter solutions from smallest to largest. If there is one solution with a multiplicity of two, enter it in both answer boxes.)<BR>\n" );
document.write( "  6x^2-1=2x\r<BR>\n" );
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document.write( "x =   ?<BR>\n" );
document.write( "x =  ?\r<BR>\n" );
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document.write( "Please show me the steps to get the steps. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #309201 by </B><A HREF=/tutors/aboutme.mpl?userid=aagam94><B>aagam94(6)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=aagam94><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=aagam94><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=309201\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The equation is:<BR>\n" );
document.write( "6x^2-1=2x \r<BR>\n" );
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document.write( "Now using the formula:<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;\" >\r<BR>\n" );
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document.write( "Here,<BR>\n" );
document.write( "a=6<BR>\n" );
document.write( "b=-2<BR>\n" );
document.write( "c=-1\r<BR>\n" );
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document.write( "For these solutions to exist, the discriminant  should not be a negative number.\r<BR>\n" );
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document.write( "First, we need to compute the discriminant : d=b^2-4a*c...<BR>\n" );
document.write( "Solving we get d=28\r<BR>\n" );
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document.write( "Discriminant d=28 is greater than zero. That means that there are two solutions:\r<BR>\n" );
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document.write( "The formula is:<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( "By substituting the values of a,b,c in the above equation we get the answers as:\r<BR>\n" );
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document.write( "x=0.207625<BR>\n" );
document.write( "x=-0.274291 </SPAN>\n" );
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