document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=196523>Question 196523</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321368541/algebrahomeworkh>elementry and intermediate algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> the square root of 2n-8=-3 <BR>\n" );
document.write( "the steps i have are (2n-8)^2=(-3)^2 thats step one <BR>\n" );
document.write( "step two:2n-8=-9 then i added eight and got <BR>\n" );
document.write( "2n=-1 which makes n= -1/2 so i plugged in -1/2 into original equation and got<BR>\n" );
document.write( "2(-1/2)-8= -9 <BR>\n" );
document.write( "that is wher i get lost because i do not know how to write my answer but my textbook says no real # solution???and my instructor said something about an extraneous solution i think i'm failing this course and will appreciate all help thanks tanya </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #147323 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=147323\">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%282n-8%29=-3 ALIGN=MIDDLE  ALT=\"sqrt%282n-8%29=-3\"   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%282n-8%29%29%5E2=%28-3%29%5E2 ALIGN=MIDDLE  ALT=\"%28sqrt%282n-8%29%29%5E2=%28-3%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=2n-8=%28-3%29%5E2 ALIGN=MIDDLE  ALT=\"2n-8=%28-3%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square the square root to eliminate it\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2n-8=9 ALIGN=MIDDLE  ALT=\"2n-8=9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square -3 to get 9 (NOT -9). Note: this is where you made a mistake\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2n=9%2B8 ALIGN=MIDDLE  ALT=\"2n=9%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8 ALIGN=MIDDLE  ALT=\"8\"   DISABLED_style= \"max-width:90%; height:auto;\" > to both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2n=17 ALIGN=MIDDLE  ALT=\"2n=17\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the right side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=%2817%29%2F%282%29 ALIGN=MIDDLE  ALT=\"n=%2817%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to isolate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "So the <i>possible</i> solution is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=17%2F2 ALIGN=MIDDLE  ALT=\"n=17%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "However, we need to check the possible solution.\r<BR>\n" );
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document.write( "Check:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282n-8%29=-3 ALIGN=MIDDLE  ALT=\"sqrt%282n-8%29=-3\"   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=sqrt%282%2817%2F2%29-8%29=-3 ALIGN=MIDDLE  ALT=\"sqrt%282%2817%2F2%29-8%29=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=17%2F2 ALIGN=MIDDLE  ALT=\"n=17%2F2\"   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=sqrt%2834%2F2-8%29=-3 ALIGN=MIDDLE  ALT=\"sqrt%2834%2F2-8%29=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2817-8%29=-3 ALIGN=MIDDLE  ALT=\"sqrt%2817-8%29=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%289%29=-3 ALIGN=MIDDLE  ALT=\"sqrt%289%29=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3=-3 ALIGN=MIDDLE  ALT=\"3=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of 9 to get 3\r<BR>\n" );
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document.write( "Since the both sides are clearly NOT equal, this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=17%2F2 ALIGN=MIDDLE  ALT=\"n=17%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is NOT a solution.\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So there are no solutions.\r<BR>\n" );
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document.write( "Note: an extraneous solution is a \"solution\" that is introduced in the intermediate steps but does NOT satisfy the original equation (the only equation we care about) </SPAN>\n" );
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