document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=372500>Question 372500</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I having trouble getting this radical expression to solve. I do not have the root symbol so I will use the forward slash. I get different answers each time I try to solve. Can you please help me understand this problem?\r<BR>\n" );
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document.write( "/10 &#8722; 2x &#8722; /5x + 16 = 3<BR>\n" );
document.write( "/10-2x=3-/5x+16<BR>\n" );
document.write( "(/10-2x)^2= (3- /5x+16)^2<BR>\n" );
document.write( "10-2x=9-6/5x+16 + (5x+16)<BR>\n" );
document.write( "10=9-6/5x+16<BR>\n" );
document.write( "1=6/5x+16<BR>\n" );
document.write( "0.1666=/5x+16<BR>\n" );
document.write( "0.1666^2=(/5x+16)^2<BR>\n" );
document.write( "0.03=5x+256<BR>\n" );
document.write( "-255.973 or -256=x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #265368 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=265368\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You seem to have the right idea, will go thru it step by step:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2810+-+2x%29+-+sqrt%285x+%2B+16%29 ALIGN=MIDDLE  ALT=\"sqrt%2810+-+2x%29+-+sqrt%285x+%2B+16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2810+-+2x%29 ALIGN=MIDDLE  ALT=\"sqrt%2810+-+2x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > =  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%285x+%2B+16%29 ALIGN=MIDDLE  ALT=\"sqrt%285x+%2B+16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 3; I think you have the wrong sign here<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Square both sides, FOIL the right side<BR>\n" );
document.write( "10 - 2x = (5x+16) + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6sqrt%285x+%2B+16%29 ALIGN=MIDDLE  ALT=\"6sqrt%285x+%2B+16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 9<BR>\n" );
document.write( ":<BR>\n" );
document.write( "10 - 2x = 5x + 25 + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6sqrt%285x+%2B+16%29 ALIGN=MIDDLE  ALT=\"6sqrt%285x+%2B+16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "10 - 25 - 2x - 5x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6sqrt%285x+%2B+16%29 ALIGN=MIDDLE  ALT=\"6sqrt%285x+%2B+16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "-7x - 15 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6sqrt%285x+%2B+16%29 ALIGN=MIDDLE  ALT=\"6sqrt%285x+%2B+16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "square again, FOIL the left side<BR>\n" );
document.write( "49x^2 + 105x + 105x + 225 = 36(5x + 16)<BR>\n" );
document.write( ":<BR>\n" );
document.write( " 49x^2 + 210x + 225 = 180x + 576  <BR>\n" );
document.write( ":<BR>\n" );
document.write( "Combine on the right<BR>\n" );
document.write( "49x^2 + 210x - 180x + 225 - 576 = 0<BR>\n" );
document.write( ";<BR>\n" );
document.write( "A quadratic equation<BR>\n" );
document.write( "49x^2 + 30x - 351 = 0 <BR>\n" );
document.write( ":<BR>\n" );
document.write( "Use the quadratic formula to find x. a=49; b=30; c=-351<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-30+%2B-+sqrt%2830%5E2-4%2A49%2A-351+%29%29%2F%282%2A49%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-30+%2B-+sqrt%2830%5E2-4%2A49%2A-351+%29%29%2F%282%2A49%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-30+%2B-+sqrt%28900-%28-68796%29+%29%29%2F98+ ALIGN=MIDDLE  ALT=\"x+=+%28-30+%2B-+sqrt%28900-%28-68796%29+%29%29%2F98+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-30+%2B-+sqrt%2869696+%29%29%2F98+ ALIGN=MIDDLE  ALT=\"x+=+%28-30+%2B-+sqrt%2869696+%29%29%2F98+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "two solutions<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-30+%2B+264%29%2F98+ ALIGN=MIDDLE  ALT=\"x+=+%28-30+%2B+264%29%2F98+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=234%2F98 ALIGN=MIDDLE  ALT=\"234%2F98\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = +2.387755<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-30+-+264%29%2F98+ ALIGN=MIDDLE  ALT=\"x+=+%28-30+-+264%29%2F98+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-294%29%2F98 ALIGN=MIDDLE  ALT=\"%28-294%29%2F98\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = -3<BR>\n" );
document.write( ":<BR>\n" );
document.write( "I checked both these solutions in the original problem. You can confirm this yourself, however.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "I'm not surprised that you had difficulty, a dozen ways to go wrong here.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );