document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=208682>Question 208682</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Could you please help me with this problem?\r<BR>\n" );
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document.write( "Solve using the quadratic Formaula. Give exact solutions\r<BR>\n" );
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document.write( "4x^2= -20x-12\r<BR>\n" );
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document.write( "Thanks you!!!!!!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #157825 by </B><A HREF=/tutors/aboutme.mpl?userid=algebrapro18><B>algebrapro18(249)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=algebrapro18><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=157825\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First off we need to get this equation into standard form which is ax^2+bx+c=0.  To do that we need to add 20x and 12 to both sides.<br>\r<BR>\n" );
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document.write( "4x^2+20x+12=0.  Now we can plug into the quadratic 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;\" ><br>\r<BR>\n" );
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document.write( "where a = 4, b = 20, and c = 12.  Plugging in you get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-20+%2B-+sqrt%28+20%5E2-4%2A4%2A12+%29%29%2F%282%2A4%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-20+%2B-+sqrt%28+20%5E2-4%2A4%2A12+%29%29%2F%282%2A4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "Now we simplify:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-20+%2B-+sqrt%28+20%5E2-4%2A4%2A12+%29%29%2F%282%2A4%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-20+%2B-+sqrt%28+20%5E2-4%2A4%2A12+%29%29%2F%282%2A4%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+=+%28-20+%2B-+sqrt%28+400-192+%29%29%2F%288%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-20+%2B-+sqrt%28+400-192+%29%29%2F%288%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+=+%28-20+%2B-+sqrt%28+208+%29%29%2F%288%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-20+%2B-+sqrt%28+208+%29%29%2F%288%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "208 is divisible by 16 so you can take divide by 16 and then pull a 4 out because the square root of 16 is 4. \r<BR>\n" );
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document.write( "So the expression above simplifies down to<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-20+%2B-+4%2Asqrt%28+13+%29%29%2F%288%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-20+%2B-+4%2Asqrt%28+13+%29%29%2F%288%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "Since there is a factor of 4 present in all 3 whole numbers we can divide everything by 4.  Doing so will result in:<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-5+%2B-+sqrt%2813%29%29%2F%282%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-5+%2B-+sqrt%2813%29%29%2F%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "And that is your final exact answer. </SPAN>\n" );
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