document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=144547>Question 144547</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534386172/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Thank you in advance for helping me with this equation.  sqrt(-2x-7) + sqrt(x+9)= sqrt(8-x) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #105290 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=105290\">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=sqrt%28-2x-7%29+%2B+sqrt%28x%2B9%29=+sqrt%288-x%29 ALIGN=MIDDLE  ALT=\"sqrt%28-2x-7%29+%2B+sqrt%28x%2B9%29=+sqrt%288-x%29\"   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=%28sqrt%28-2x-7%29+%2B+sqrt%28x%2B9%29%29%5E2=+%28sqrt%288-x%29%29%5E2 ALIGN=MIDDLE  ALT=\"%28sqrt%28-2x-7%29+%2B+sqrt%28x%2B9%29%29%5E2=+%28sqrt%288-x%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%28-2x-7%29%29%5E2+%2B+2%2Asqrt%28-2x-7%29%2Asqrt%28x%2B9%29%2B+%28sqrt%28x%2B9%29%29%5E2=+8-x ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Foil\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x-7+%2B+2%2Asqrt%28-2x-7%29%2Asqrt%28x%2B9%29%2B+x%2B9=+8-x ALIGN=MIDDLE  ALT=\"-2x-7+%2B+2%2Asqrt%28-2x-7%29%2Asqrt%28x%2B9%29%2B+x%2B9=+8-x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square and multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x-7+%2B+2%2Asqrt%28%28-2x-7%29%2A%28x%2B9%29%29%2B+x%2B9=+8-x ALIGN=MIDDLE  ALT=\"-2x-7+%2B+2%2Asqrt%28%28-2x-7%29%2A%28x%2B9%29%29%2B+x%2B9=+8-x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the square roots\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x-7+%2B+2%2Asqrt%28-2x%5E2-25x-63%29%2B+x%2B9=+8-x ALIGN=MIDDLE  ALT=\"-2x-7+%2B+2%2Asqrt%28-2x%5E2-25x-63%29%2B+x%2B9=+8-x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Foil\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Asqrt%28-2x%5E2-25x-63%29-+x%2B2=+8-x ALIGN=MIDDLE  ALT=\"2%2Asqrt%28-2x%5E2-25x-63%29-+x%2B2=+8-x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Asqrt%28-2x%5E2-25x-63%29=+8-x%2Bx-2 ALIGN=MIDDLE  ALT=\"2%2Asqrt%28-2x%5E2-25x-63%29=+8-x%2Bx-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add x to both sides. Subtract 2 from both sides. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Asqrt%28-2x%5E2-25x-63%29=+6 ALIGN=MIDDLE  ALT=\"2%2Asqrt%28-2x%5E2-25x-63%29=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Combine like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28-2x%5E2-25x-63%29=+3 ALIGN=MIDDLE  ALT=\"sqrt%28-2x%5E2-25x-63%29=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Divide both sides by 2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%28-2x%5E2-25x-63%29%29%5E2=+%283%29%5E2 ALIGN=MIDDLE  ALT=\"%28sqrt%28-2x%5E2-25x-63%29%29%5E2=+%283%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Square both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x%5E2-25x-63=+9 ALIGN=MIDDLE  ALT=\"-2x%5E2-25x-63=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x%5E2-25x-63-9=0 ALIGN=MIDDLE  ALT=\"-2x%5E2-25x-63-9=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Subtract 25 from both sides. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x%5E2-25x-72=0 ALIGN=MIDDLE  ALT=\"-2x%5E2-25x-72=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-x-8%29%282x%2B9%29=0 ALIGN=MIDDLE  ALT=\"%28-x-8%29%282x%2B9%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the left side (note: if you need help with factoring, check out this <a  rel=nofollow HREF=http://www.algebra.com/algebra/homework/playground/change-this-name4450.solver>solver</a>)\r<BR>\n" );
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document.write( "Now set each factor equal to zero:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x-8=0 ALIGN=MIDDLE  ALT=\"-x-8=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B9=0 ALIGN=MIDDLE  ALT=\"2x%2B9=0\"   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=-8 ALIGN=MIDDLE  ALT=\"x=-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > or  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-9%2F2 ALIGN=MIDDLE  ALT=\"x=-9%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >    Now solve for x in each case\r<BR>\n" );
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document.write( "So our answers are\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-8 ALIGN=MIDDLE  ALT=\"x=-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > or  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-9%2F2 ALIGN=MIDDLE  ALT=\"x=-9%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
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