document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=188334>Question 188334</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help solve the following equation:\r<BR>\n" );
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document.write( "600 = 0.9x^ - 26.5x + 290\r<BR>\n" );
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document.write( "Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #141177 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=141177\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'm assuming that the equation should be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600+=+0.9x%5E2+-+26.5x+%2B+290 ALIGN=MIDDLE  ALT=\"600+=+0.9x%5E2+-+26.5x+%2B+290\"   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=600+=+0.9x%5E2+-+26.5x+%2B+290 ALIGN=MIDDLE  ALT=\"600+=+0.9x%5E2+-+26.5x+%2B+290\"   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=6000+=+9x%5E2+-+265x+%2B+2900 ALIGN=MIDDLE  ALT=\"6000+=+9x%5E2+-+265x+%2B+2900\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply EVERY term by 10 to make every number a whole number\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+9x%5E2+-+265x+%2B+2900-6000 ALIGN=MIDDLE  ALT=\"0+=+9x%5E2+-+265x+%2B+2900-6000\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 6000 from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+9x%5E2+-+265x+-3100 ALIGN=MIDDLE  ALT=\"0+=+9x%5E2+-+265x+-3100\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "Notice we have a quadratic equation 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=-265 ALIGN=MIDDLE  ALT=\"b=-265\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=-3100 ALIGN=MIDDLE  ALT=\"c=-3100\"   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-%28-265%29+%2B-+sqrt%28+%28-265%29%5E2-4%289%29%28-3100%29+%29%29%2F%282%289%29%29 ALIGN=MIDDLE  ALT=\"x+=+%28-%28-265%29+%2B-+sqrt%28+%28-265%29%5E2-4%289%29%28-3100%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=-265 ALIGN=MIDDLE  ALT=\"b=-265\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=-3100 ALIGN=MIDDLE  ALT=\"c=-3100\"   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+=+%28265+%2B-+sqrt%28+%28-265%29%5E2-4%289%29%28-3100%29+%29%29%2F%282%289%29%29 ALIGN=MIDDLE  ALT=\"x+=+%28265+%2B-+sqrt%28+%28-265%29%5E2-4%289%29%28-3100%29+%29%29%2F%282%289%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Negate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-265 ALIGN=MIDDLE  ALT=\"-265\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=265 ALIGN=MIDDLE  ALT=\"265\"   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+=+%28265+%2B-+sqrt%28+70225-4%289%29%28-3100%29+%29%29%2F%282%289%29%29 ALIGN=MIDDLE  ALT=\"x+=+%28265+%2B-+sqrt%28+70225-4%289%29%28-3100%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=-265 ALIGN=MIDDLE  ALT=\"-265\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70225 ALIGN=MIDDLE  ALT=\"70225\"   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+=+%28265+%2B-+sqrt%28+70225--111600+%29%29%2F%282%289%29%29 ALIGN=MIDDLE  ALT=\"x+=+%28265+%2B-+sqrt%28+70225--111600+%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%28-3100%29 ALIGN=MIDDLE  ALT=\"4%289%29%28-3100%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-111600 ALIGN=MIDDLE  ALT=\"-111600\"   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+=+%28265+%2B-+sqrt%28+70225%2B111600+%29%29%2F%282%289%29%29 ALIGN=MIDDLE  ALT=\"x+=+%28265+%2B-+sqrt%28+70225%2B111600+%29%29%2F%282%289%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2870225--111600%29 ALIGN=MIDDLE  ALT=\"sqrt%2870225--111600%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2870225%2B111600%29 ALIGN=MIDDLE  ALT=\"sqrt%2870225%2B111600%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+=+%28265+%2B-+sqrt%28+181825+%29%29%2F%282%289%29%29 ALIGN=MIDDLE  ALT=\"x+=+%28265+%2B-+sqrt%28+181825+%29%29%2F%282%289%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70225 ALIGN=MIDDLE  ALT=\"70225\"   DISABLED_style= \"max-width:90%; height:auto;\" > to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=111600 ALIGN=MIDDLE  ALT=\"111600\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=181825 ALIGN=MIDDLE  ALT=\"181825\"   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+=+%28265+%2B-+sqrt%28+181825+%29%29%2F%2818%29 ALIGN=MIDDLE  ALT=\"x+=+%28265+%2B-+sqrt%28+181825+%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+=+%28265+%2B-+5%2Asqrt%287273%29%29%2F%2818%29 ALIGN=MIDDLE  ALT=\"x+=+%28265+%2B-+5%2Asqrt%287273%29%29%2F%2818%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify the square root \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28265%2B5%2Asqrt%287273%29%29%2F%2818%29 ALIGN=MIDDLE  ALT=\"x+=+%28265%2B5%2Asqrt%287273%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+=+%28265-5%2Asqrt%287273%29%29%2F%2818%29 ALIGN=MIDDLE  ALT=\"x+=+%28265-5%2Asqrt%287273%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 answers are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28265%2B5%2Asqrt%287273%29%29%2F%2818%29 ALIGN=MIDDLE  ALT=\"x+=+%28265%2B5%2Asqrt%287273%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+=+%28265-5%2Asqrt%287273%29%29%2F%2818%29 ALIGN=MIDDLE  ALT=\"x+=+%28265-5%2Asqrt%287273%29%29%2F%2818%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "which approximate to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=38.412 ALIGN=MIDDLE  ALT=\"x=38.412\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-8.967 ALIGN=MIDDLE  ALT=\"x=-8.967\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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