document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=255553>Question 255553</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve: sqrt of x+5 + sqrt of x-3 = 4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #187920 by </B><A HREF=/tutors/aboutme.mpl?userid=EMStelley><B>EMStelley(208)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=EMStelley><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=EMStelley><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=187920\">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+%2B+sqrt%28x-3%29+=+4 ALIGN=MIDDLE  ALT=\"sqrt%28x%2B5%29+%2B+sqrt%28x-3%29+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "When you are solving a problem with two square roots, you always want to start by rearranging the formula to have one square root on each side:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%2B5%29+=+4+-+sqrt%28x-3%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%2B5%29+=+4+-+sqrt%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Now we square both sides:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%28x%2B5%29%29%5E2+=+%284+-+sqrt%28x-3%29%29%5E2 ALIGN=MIDDLE  ALT=\"%28sqrt%28x%2B5%29%29%5E2+=+%284+-+sqrt%28x-3%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B5+=+%284-sqrt%28x-3%29%29%284-sqrt%28x-3%29%29 ALIGN=MIDDLE  ALT=\"x%2B5+=+%284-sqrt%28x-3%29%29%284-sqrt%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B5+=+16+-+8sqrt%28x-3%29+%2B+x+-+3 ALIGN=MIDDLE  ALT=\"x%2B5+=+16+-+8sqrt%28x-3%29+%2B+x+-+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Now, we combine like terms and isolate the one remaining square root:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B5+=+x%2B13-8sqrt%28x-3%29 ALIGN=MIDDLE  ALT=\"x%2B5+=+x%2B13-8sqrt%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8+=+-8sqrt%28x-3%29 ALIGN=MIDDLE  ALT=\"-8+=+-8sqrt%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+=+sqrt%28x-3%29 ALIGN=MIDDLE  ALT=\"1+=+sqrt%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "And now we square both sides again:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+=+x-3 ALIGN=MIDDLE  ALT=\"1+=+x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+4 ALIGN=MIDDLE  ALT=\"x+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "The last step is to check our answer:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%284%2B5%29+%2B+sqrt%284-3%29+=+4 ALIGN=MIDDLE  ALT=\"sqrt%284%2B5%29+%2B+sqrt%284-3%29+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+%2B+1+=+4 ALIGN=MIDDLE  ALT=\"3+%2B+1+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "So x=4 is a valid solution. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );