document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=201591>Question 201591</A>: <I><SPAN STYLE=\"word-break: break-all;\"> x^2+8x+144=16/9 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #151852 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=151852\">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=x%5E2%2B8x%2B144=16%2F9 ALIGN=MIDDLE  ALT=\"x%5E2%2B8x%2B144=16%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2Ax%5E2%2B9%2A8x%2B9%2A144=cross%289%29%2A%2816%2Fcross%289%29%29 ALIGN=MIDDLE  ALT=\"9%2Ax%5E2%2B9%2A8x%2B9%2A144=cross%289%29%2A%2816%2Fcross%289%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply EVERY term by the LCD 9 to clear out the fraction.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2%2B72x%2B1296=16 ALIGN=MIDDLE  ALT=\"9x%5E2%2B72x%2B1296=16\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply and simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2%2B72x%2B1296-16=0 ALIGN=MIDDLE  ALT=\"9x%5E2%2B72x%2B1296-16=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 16 from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2%2B72x%2B1280=0 ALIGN=MIDDLE  ALT=\"9x%5E2%2B72x%2B1280=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "Notice that the quadratic <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2%2B72x%2B1280 ALIGN=MIDDLE  ALT=\"9x%5E2%2B72x%2B1280\"   DISABLED_style= \"max-width:90%; height:auto;\" > is in the form of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Ax%5E2%2BBx%2BC ALIGN=MIDDLE  ALT=\"Ax%5E2%2BBx%2BC\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=9 ALIGN=MIDDLE  ALT=\"A=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=72 ALIGN=MIDDLE  ALT=\"B=72\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=1280 ALIGN=MIDDLE  ALT=\"C=1280\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Let's use the quadratic formula to solve for \"x\":\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-B+%2B-+sqrt%28+B%5E2-4AC+%29%29%2F%282A%29 ALIGN=MIDDLE  ALT=\"x+=+%28-B+%2B-+sqrt%28+B%5E2-4AC+%29%29%2F%282A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the quadratic formula\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-%2872%29+%2B-+sqrt%28+%2872%29%5E2-4%289%29%281280%29+%29%29%2F%282%289%29%29 ALIGN=MIDDLE  ALT=\"x+=+%28-%2872%29+%2B-+sqrt%28+%2872%29%5E2-4%289%29%281280%29+%29%29%2F%282%289%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=9 ALIGN=MIDDLE  ALT=\"A=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=72 ALIGN=MIDDLE  ALT=\"B=72\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=1280 ALIGN=MIDDLE  ALT=\"C=1280\"   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+=+%28-72+%2B-+sqrt%28+5184-4%289%29%281280%29+%29%29%2F%282%289%29%29 ALIGN=MIDDLE  ALT=\"x+=+%28-72+%2B-+sqrt%28+5184-4%289%29%281280%29+%29%29%2F%282%289%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=72 ALIGN=MIDDLE  ALT=\"72\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5184 ALIGN=MIDDLE  ALT=\"5184\"   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+=+%28-72+%2B-+sqrt%28+5184-46080+%29%29%2F%282%289%29%29 ALIGN=MIDDLE  ALT=\"x+=+%28-72+%2B-+sqrt%28+5184-46080+%29%29%2F%282%289%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%289%29%281280%29 ALIGN=MIDDLE  ALT=\"4%289%29%281280%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=46080 ALIGN=MIDDLE  ALT=\"46080\"   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+=+%28-72+%2B-+sqrt%28+-40896+%29%29%2F%282%289%29%29 ALIGN=MIDDLE  ALT=\"x+=+%28-72+%2B-+sqrt%28+-40896+%29%29%2F%282%289%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=46080 ALIGN=MIDDLE  ALT=\"46080\"   DISABLED_style= \"max-width:90%; height:auto;\" > from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5184 ALIGN=MIDDLE  ALT=\"5184\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-40896 ALIGN=MIDDLE  ALT=\"-40896\"   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+=+%28-72+%2B-+sqrt%28+-40896+%29%29%2F%2818%29 ALIGN=MIDDLE  ALT=\"x+=+%28-72+%2B-+sqrt%28+-40896+%29%29%2F%2818%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9 ALIGN=MIDDLE  ALT=\"9\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18 ALIGN=MIDDLE  ALT=\"18\"   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+=+%28-72+%2B-+24i%2Asqrt%2871%29%29%2F%2818%29 ALIGN=MIDDLE  ALT=\"x+=+%28-72+%2B-+24i%2Asqrt%2871%29%29%2F%2818%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify the square root  (note: If you need help with simplifying square roots, check out this <a  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Radicals/simplifying-square-roots.solver> solver</a>)  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-72%2B24i%2Asqrt%2871%29%29%2F%2818%29 ALIGN=MIDDLE  ALT=\"x+=+%28-72%2B24i%2Asqrt%2871%29%29%2F%2818%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-72-24i%2Asqrt%2871%29%29%2F%2818%29 ALIGN=MIDDLE  ALT=\"x+=+%28-72-24i%2Asqrt%2871%29%29%2F%2818%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the expression.  \r<BR>\n" );
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document.write( "So the solutions are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-72%2B24i%2Asqrt%2871%29%29%2F%2818%29 ALIGN=MIDDLE  ALT=\"x+=+%28-72%2B24i%2Asqrt%2871%29%29%2F%2818%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-72-24i%2Asqrt%2871%29%29%2F%2818%29 ALIGN=MIDDLE  ALT=\"x+=+%28-72-24i%2Asqrt%2871%29%29%2F%2818%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
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