document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=964193>Question 964193</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help solve this equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt%282x%2B5%29-sqrt%28x-2%29=3 ALIGN=MIDDLE  ALT=\"+sqrt%282x%2B5%29-sqrt%28x-2%29=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "I know you should isolate the radical so you add sqrt(x-2) to 3 it becomes:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Sqrt%282x%2B5%29=3%2Bsqrt%28x-2%29 ALIGN=MIDDLE  ALT=\"Sqrt%282x%2B5%29=3%2Bsqrt%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and you then get rid of the radical so you have to square both side and then it cancles the radical. Now it's 2x+5=3+sqrt(x-2)^2 and then it's: 2x+5=3+sqrt(x-2)*3+sqrt(x-2) which equals: 2x+5=9+3sqrt(x-2)+3sqrt(x-2)+sqrt(x-2)^2 which cancels out and is just x-2.now we just combine like terms: 2x+5=7+6sqrt(x-2)+x now subtract 7 and x to 2x+5 and you get: x-2=6sqrt(x-2) and that's where I'm stuck I know you have to divide by 6 for both sides to isolate the radical and then square again but then what?I know the answer is x=2 and x=38 but how do you get it? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #589085 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=589085\">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%282x%2B5%29=3%2Bsqrt%28x-2%29 ALIGN=MIDDLE  ALT=\"Sqrt%282x%2B5%29=3%2Bsqrt%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Square BOTH sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B5=%283%2Bsqrt%28x-2%29%29%5E2 ALIGN=MIDDLE  ALT=\"2x%2B5=%283%2Bsqrt%28x-2%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B5=9%2B6sqrt%28x-2%29%2B%28x-2%29 ALIGN=MIDDLE  ALT=\"2x%2B5=9%2B6sqrt%28x-2%29%2B%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Isolate the resulting radical.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B5-9-%28x-2%29=6sqrt%28x-2%29 ALIGN=MIDDLE  ALT=\"2x%2B5-9-%28x-2%29=6sqrt%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-4-x%2B2=6sqrt%28x-2%29 ALIGN=MIDDLE  ALT=\"2x-4-x%2B2=6sqrt%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2=6sqrt%28x-2%29 ALIGN=MIDDLE  ALT=\"x-2=6sqrt%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Square both sides again.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-4x%2B4=36%28x-2%29 ALIGN=MIDDLE  ALT=\"x%5E2-4x%2B4=36%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-4x%2B4=36x-72 ALIGN=MIDDLE  ALT=\"x%5E2-4x%2B4=36x-72\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-4x-36x%2B4%2B72=0 ALIGN=MIDDLE  ALT=\"x%5E2-4x-36x%2B4%2B72=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-40x%2B76=0 ALIGN=MIDDLE  ALT=\"x%5E2-40x%2B76=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which does not seem factorable.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%2840%2B-+sqrt%2840%5E2-4%2A76%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=%2840%2B-+sqrt%2840%5E2-4%2A76%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%2840%2B-+sqrt%281904%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=%2840%2B-+sqrt%281904%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "1904=16*119\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%2840%2B-+4sqrt%28119%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=%2840%2B-+4sqrt%28119%29%29%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=highlight%28x=20%2B-+2sqrt%28119%29%29 ALIGN=MIDDLE  ALT=\"highlight%28x=20%2B-+2sqrt%28119%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(Possible mistake in this work) </SPAN>\n" );
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