document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=10593>Question 10593</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can u please show me how to do this problem:\r<BR>\n" );
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document.write( "the square root of (2x+5) - the square root of (x-2) = 3\r<BR>\n" );
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document.write( "I got the answer of 2, but i believe there is another possible answer, and i dont know how to get it. thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #5610 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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/cgi-bin/show-face.mpl?user=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=5610\">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+-+sqrt%28x-2%29+=+3 ALIGN=MIDDLE  ALT=\"sqrt%282x%2B5%29+-+sqrt%28x-2%29+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "First step is to isolate one of the radicals.  I recommend adding <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x-2%29 ALIGN=MIDDLE  ALT=\"sqrt%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to each side of the equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282x%2B5%29+=+3+%2B+sqrt%28x-2%29+ ALIGN=MIDDLE  ALT=\"sqrt%282x%2B5%29+=+3+%2B+sqrt%28x-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Next, square both sides:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%282x%2B5%29%29%5E2+=+%283+%2B+sqrt%28x-2%29%29%5E2+ ALIGN=MIDDLE  ALT=\"%28sqrt%282x%2B5%29%29%5E2+=+%283+%2B+sqrt%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=%28sqrt%282x%2B5%29%29%5E2+=+%283+%2B+sqrt%28x-2%29%29%2A+%283+%2B+sqrt%28x-2%29%29+ ALIGN=MIDDLE  ALT=\"%28sqrt%282x%2B5%29%29%5E2+=+%283+%2B+sqrt%28x-2%29%29%2A+%283+%2B+sqrt%28x-2%29%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=2x%2B5+=+9%2B6+%2Asqrt%28x-2%29+%2B+x-2 ALIGN=MIDDLE  ALT=\"2x%2B5+=+9%2B6+%2Asqrt%28x-2%29+%2B+x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "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=2x%2B+5+=+7%2B+x+%2B+6%2Asqrt%28x-2%29+ ALIGN=MIDDLE  ALT=\"2x%2B+5+=+7%2B+x+%2B+6%2Asqrt%28x-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Subtract 7 and x from each side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+%2B+5+-+x+-+7+=+6+%2A+sqrt%28x-2%29 ALIGN=MIDDLE  ALT=\"2x+%2B+5+-+x+-+7+=+6+%2A+sqrt%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+=+6%2A+sqrt%28x-2%29+ ALIGN=MIDDLE  ALT=\"x+-2+=+6%2A+sqrt%28x-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now, square both sides again:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%5E2+=+36%28x-2%29+ ALIGN=MIDDLE  ALT=\"%28x-2%29%5E2+=+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+%2B+4+=+36x+-+72 ALIGN=MIDDLE  ALT=\"x%5E2+-+4x+%2B+4+=+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+%2B+72+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+-+4x+-+36x+%2B4+%2B+72+=+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+%2B+76+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+-+40x+%2B+76+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This just happens to factor!!  It always does in these types of problems!!<BR>\n" );
document.write( "(x-2)(x-38) = 0\r<BR>\n" );
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document.write( "x=2 or x = 38\r<BR>\n" );
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document.write( "You still have to check to see if it really works in the original equation.\r<BR>\n" );
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document.write( "Let x = 2\r<BR>\n" );
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document.write( "<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( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%284%2B5%29+-+sqrt%280%29+=+3 ALIGN=MIDDLE  ALT=\"sqrt%284%2B5%29+-+sqrt%280%29+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >  It checks:\r<BR>\n" );
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document.write( "Let x = 38<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2876%2B5%29+-+sqrt%2836%29+=+3 ALIGN=MIDDLE  ALT=\"sqrt%2876%2B5%29+-+sqrt%2836%29+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2881%29+-+sqrt%2836%29+=+3 ALIGN=MIDDLE  ALT=\"sqrt%2881%29+-+sqrt%2836%29+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9+-+6+=+3 ALIGN=MIDDLE  ALT=\"9+-+6+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >  This one checks also.\r<BR>\n" );
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document.write( "R^2 at SCC\r<BR>\n" );
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document.write( " </SPAN>\n" );
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