document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=248471>Question 248471</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the quadratic equation for x by the square root:\r<BR>\n" );
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document.write( "x squared + 8 = 3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #181133 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=181133\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'm assuming the problem is to solve <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%5E2%2B8%29+=+3 ALIGN=MIDDLE  ALT=\"sqrt%28x%5E2%2B8%29+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "To solve for a variable in a square root:<ol><li>Isolate the square root on sone side of the equation.</li><li>Square both sides</li><li>Solve the new equation.</li><li>Check your answers. This more than just a good idea. It is important because squaring both sides of an equation, like we did in step #2, can introduce what are called extraneous solutions. Extraneous solutions are solutions which work in the squared equation but do not work in the original equation.</li></ol><BR>\n" );
document.write( "1. Isolate the square root. Your square root is already by itself on the left side.<br><BR>\n" );
document.write( "2. Square both sides:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%28x%5E2%2B8%29%29%5E2+=+%283%29%5E2 ALIGN=MIDDLE  ALT=\"%28sqrt%28x%5E2%2B8%29%29%5E2+=+%283%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+8+=+9 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+8+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "3. Solve:<BR>\n" );
document.write( "Subtract 9 from each side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+1+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+-+1+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B1%29%28x-1%29+=+0 ALIGN=MIDDLE  ALT=\"%28x%2B1%29%28x-1%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x+1 = 0 or x=1 = 0<BR>\n" );
document.write( "x = -1 or x = 1<br><BR>\n" );
document.write( "4. Check your answers. (Always use the original equation to check.)<BR>\n" );
document.write( "Checking x = -1:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28-1%29%5E2%2B8%29+=+3 ALIGN=MIDDLE  ALT=\"sqrt%28%28-1%29%5E2%2B8%29+=+3\"   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%2B8%29+=+3 ALIGN=MIDDLE  ALT=\"sqrt%281%2B8%29+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%289%29+=+3 ALIGN=MIDDLE  ALT=\"sqrt%289%29+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+=+3 ALIGN=MIDDLE  ALT=\"3+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Check!<BR>\n" );
document.write( "Checking x = 1:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%281%29%5E2%2B8%29+=+3 ALIGN=MIDDLE  ALT=\"sqrt%28%281%29%5E2%2B8%29+=+3\"   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%2B8%29+=+3 ALIGN=MIDDLE  ALT=\"sqrt%281%2B8%29+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%289%29+=+3 ALIGN=MIDDLE  ALT=\"sqrt%289%29+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+=+3 ALIGN=MIDDLE  ALT=\"3+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Check!<br><BR>\n" );
document.write( "(Note: Both answers checked out this time. But don't forrget this step. There will be times when one or more of your solutions are extraneous and muct be rejected.) </SPAN>\n" );
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