document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=250634>Question 250634</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Radical Equation.\r<BR>\n" );
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document.write( "The square root of 110-n = n.\r<BR>\n" );
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document.write( "I keep getting stuck here because there ends up being a squared n and a single n. I am not sure what to do here. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #182514 by </B><A HREF=/tutors/aboutme.mpl?userid=lbmore@yahoo.com><B>lbmore@yahoo.com(1)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lbmore@yahoo.com><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=182514\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi, lets see if we can get you going in the right direction.\r<BR>\n" );
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document.write( "If you have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28110-n%29 ALIGN=MIDDLE  ALT=\"sqrt%28110-n%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = n and square both sides you end up with\r<BR>\n" );
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document.write( "110-n = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2 ALIGN=MIDDLE  ALT=\"n%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "(Hopefully I am editing this so it appears right) <BR>\n" );
document.write( "It sounds like you are stuck at this point but you are on the right track. If you put everything on the right side with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2 ALIGN=MIDDLE  ALT=\"n%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > you will have a quadratic equation.  There are several ways to solve this but the easiest way to solve this quadratic equation is by factoring. Here are the steps:\r<BR>\n" );
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document.write( "Add n to both sides, subtract 110 from each side to get<BR>\n" );
document.write( "0 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2 ALIGN=MIDDLE  ALT=\"n%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + n - 110<BR>\n" );
document.write( "Now you can solve this by factoring  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2 ALIGN=MIDDLE  ALT=\"n%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + n - 110.<BR>\n" );
document.write( "You need to find factors of 110 that add to be 1. These factors are -10 and +11.<BR>\n" );
document.write( "Factoring the trinomial gives you the equation 0 = (n - 10)(n + 11).<BR>\n" );
document.write( "Solving this involves setting each factor equal to zero and solving.<BR>\n" );
document.write( "n - 10 = 0           n + 11 = 0<BR>\n" );
document.write( "n = 10 and -11.<BR>\n" );
document.write( "Plug the solutions back into the equation to find out if they are solutions:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28110-10%29 ALIGN=MIDDLE  ALT=\"sqrt%28110-10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=10  |  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28100%29 ALIGN=MIDDLE  ALT=\"sqrt%28100%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=10 True<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28110%2B11%29 ALIGN=MIDDLE  ALT=\"sqrt%28110%2B11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=11  |  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28121%29 ALIGN=MIDDLE  ALT=\"sqrt%28121%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=11 True\r<BR>\n" );
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document.write( "n = 10 and -11 are the solutions.\r<BR>\n" );
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document.write( "I hope this gets you working in the right direction.<BR>\n" );
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