document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=228692>Question 228692</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve sqrt x + 5 = sqrt x^2 - 15 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #169709 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=169709\">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%28x%2B5%29=sqrt%28x%5E2-15%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%2B5%29=sqrt%28x%5E2-15%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=x%2B5=x%5E2+-15 ALIGN=MIDDLE  ALT=\"x%2B5=x%5E2+-15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "It's quadratic, so set it equal to zero by subtracting x +5 from each side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=x%5E2+-x+-15-5 ALIGN=MIDDLE  ALT=\"0=x%5E2+-x+-15-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=x%5E2-x-20 ALIGN=MIDDLE  ALT=\"0=x%5E2-x-20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=%28x-5%29%28x%2B4%29+ ALIGN=MIDDLE  ALT=\"0=%28x-5%29%28x%2B4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "There are two solutions: <BR>\n" );
document.write( "x= 5 or x=-4\r<BR>\n" );
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document.write( "You HAVE TO CHECK the answers:\r<BR>\n" );
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document.write( "First solution:  x=5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%285%2B5%29+=+sqrt%2825-15%29 ALIGN=MIDDLE  ALT=\"sqrt%285%2B5%29+=+sqrt%2825-15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2810%29=sqrt%2810%29 ALIGN=MIDDLE  ALT=\"sqrt%2810%29=sqrt%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "It checks!\r<BR>\n" );
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document.write( "Second solution:  x=-4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28-4%2B5%29=sqrt%2816-15%29 ALIGN=MIDDLE  ALT=\"sqrt%28-4%2B5%29=sqrt%2816-15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%281%29=sqrt%281%29 ALIGN=MIDDLE  ALT=\"sqrt%281%29=sqrt%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It checks!\r<BR>\n" );
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document.write( "Both solutions work, x= 5, x=-4.\r<BR>\n" );
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document.write( "Dr. Robert J. Rapalje, Retired<BR>\n" );
document.write( "Seminole State College of Florida </SPAN>\n" );
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