document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=104476>Question 104476</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0073016020/algebrahomeworkh>Beginning Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following quadratic equations.\r<BR>\n" );
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document.write( "4x^2=13x+12                     \r<BR>\n" );
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document.write( "-4x^2+13x+12=0\r<BR>\n" );
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document.write( "(-1+4)(4+3)=0\r<BR>\n" );
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document.write( "Honestly, I have no clue here.  I tried to factor and solve by using the zero product principle, but really got lost.  If you could, could you please provide me with details on how the solution is reached.  I really want to learn this, and don't just want the answer. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #76020 by </B><A HREF=/tutors/aboutme.mpl?userid=HyperBrain><B>HyperBrain(694)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=HyperBrain><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=76020\">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=-4x%5E2%2B13x%2B12=0 ALIGN=MIDDLE  ALT=\"-4x%5E2%2B13x%2B12=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If you multiply both sides by -1,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2-13x-12=0 ALIGN=MIDDLE  ALT=\"4x%5E2-13x-12=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since this is the format of a quadratic polynomial, <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;\" >, we can apply the quadratic formula.\r<BR>\n" );
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document.write( "Also, for this equation a=4, b=-13, c=12\r<BR>\n" );
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document.write( "Using the quadratic formula,<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( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%2813%2B-sqrt%2813%5E2-4%2A4%2A-12%29%29%2F%282%2A4%29 ALIGN=MIDDLE  ALT=\"x=%2813%2B-sqrt%2813%5E2-4%2A4%2A-12%29%29%2F%282%2A4%29\"   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=%2813%2B-sqrt%28169%2B192%29%29%2F%288%29 ALIGN=MIDDLE  ALT=\"x=%2813%2B-sqrt%28169%2B192%29%29%2F%288%29\"   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=%2813%2B-sqrt%28361%29%29%2F%28%288%29%29 ALIGN=MIDDLE  ALT=\"x=%2813%2B-sqrt%28361%29%29%2F%28%288%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%2813%2Bsqrt%28361%29%29%2F%28%288%29%29 ALIGN=MIDDLE  ALT=\"x=%2813%2Bsqrt%28361%29%29%2F%28%288%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%2813-sqrt%28361%29%29%2F%28%288%29%29 ALIGN=MIDDLE  ALT=\"x=%2813-sqrt%28361%29%29%2F%28%288%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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