document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1127948>Question 1127948</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Which statement best reflects the solution(s) of the equation?\r<BR>\n" );
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document.write( "The equation and answer choices are in the link here: https://prnt.sc/le2sbh\r<BR>\n" );
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document.write( "A. There is only one solution: x = 8.<BR>\n" );
document.write( "The solution x = 1 is an extraneous solution.\r<BR>\n" );
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document.write( "B. There are two solutions: x = 1 and x = 8.\r<BR>\n" );
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document.write( "C. There is only one solution: x = 8.<BR>\n" );
document.write( "The solution x = 0 is an extraneous solution.\r<BR>\n" );
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document.write( "D.There is only one solution: x = 1.<BR>\n" );
document.write( "The solution x = 8 is an extraneous solution. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #744445 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=744445\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283x%2B1%29-x%2B3+=+0 ALIGN=MIDDLE  ALT=\"sqrt%283x%2B1%29-x%2B3+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Isolate the radical<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283x%2B1%29+=+x-3 ALIGN=MIDDLE  ALT=\"sqrt%283x%2B1%29+=+x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Square both sides to get rid of the radical<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B1+=+x%5E2-6x%2B9 ALIGN=MIDDLE  ALT=\"3x%2B1+=+x%5E2-6x%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Solve the quadratic equation by factoring<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-9x%2B8+=+0 ALIGN=MIDDLE  ALT=\"x%5E2-9x%2B8+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-8%29%28x-1%29+=+0 ALIGN=MIDDLE  ALT=\"%28x-8%29%28x-1%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The two possible solutions are x=8 and x=1.<br><BR>\n" );
document.write( "Because we squared both sides of the equation at one point, there might be extraneous roots.  So see if each of the possible roots satisfies the original equation.<br><BR>\n" );
document.write( "x=8:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2825%29-8%2B3+=+5-8%2B3+=+0 ALIGN=MIDDLE  ALT=\"sqrt%2825%29-8%2B3+=+5-8%2B3+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  YES<br><BR>\n" );
document.write( "x=1:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%284%29-1%2B3+=+2-1%2B3+%3C%3E0 ALIGN=MIDDLE  ALT=\"sqrt%284%29-1%2B3+=+2-1%2B3+%3C%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  NO<br><BR>\n" );
document.write( "Note if we had been able to use -2 as the square root of 4, the equation would have been satisfied: -2-1+3 = 0.  This will usually (maybe always, I'm not sure) be the case when you solve a radical equation like this and one of the roots is extraneous.<br><BR>\n" );
document.write( "ANSWER: Choice A: one solution, x=8; x=1 is extraneous </SPAN>\n" );
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