document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=703695>Question 703695</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the solution of the equation? <BR>\n" );
document.write( "sqrt(2x+13) -5 = x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #433631 by </B><A HREF=/tutors/aboutme.mpl?userid=Nfrey78><B>Nfrey78(18)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nfrey78><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=433631\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> what is the solution of the equation? <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282x%2B13%29+-5+=+x ALIGN=MIDDLE  ALT=\"sqrt%282x%2B13%29+-5+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "To solve a radical equation we first need to get the radical, i.e. square root, by itself<BR>\n" );
document.write( "Add 5 to both sides to get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282x%2B13%29=+x+%2B+5 ALIGN=MIDDLE  ALT=\"sqrt%282x%2B13%29=+x+%2B+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "To \"undo\" the square root function, we need to do the inverse, which is square both sides.  Notice that the square root is now undone<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B13=+%28x+%2B+5%29%5E2 ALIGN=MIDDLE  ALT=\"2x%2B13=+%28x+%2B+5%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Squaring the right side is the same as (x + 5)(x + 5).  Many students often make the mistake of saying it would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+25 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+25\"   DISABLED_style= \"max-width:90%; height:auto;\" > forgetting that they need to FOIL this expression out.  Done correctly we should get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B13=+x%5E2+%2B+10x+%2B+25 ALIGN=MIDDLE  ALT=\"2x%2B13=+x%5E2+%2B+10x+%2B+25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We can see this results in a quadratic, which means we have to set it to zero, moving everything to one side<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=+x%5E2+%2B+10x+-2x+%2B+25+-+13 ALIGN=MIDDLE  ALT=\"0=+x%5E2+%2B+10x+-2x+%2B+25+-+13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Simplifying the right side by combining like terms yields<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=+x%5E2+%2B+8x+%2B+12 ALIGN=MIDDLE  ALT=\"0=+x%5E2+%2B+8x+%2B+12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "After set to zero we factor. What multiplies to give 12 but adds to 8?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=+%28x+%2B+6%29%28x+%2B+2%29 ALIGN=MIDDLE  ALT=\"0=+%28x+%2B+6%29%28x+%2B+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Set each factor to zero<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2B6+=+0 ALIGN=MIDDLE  ALT=\"+x%2B6+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+2=0 ALIGN=MIDDLE  ALT=\"x+%2B+2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and solve for x to get our solutions!<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-6 ALIGN=MIDDLE  ALT=\"x+=+-6\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-2 ALIGN=MIDDLE  ALT=\"x+=+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );