document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=46370>Question 46370</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve and check solution\r<BR>\n" );
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document.write( "sqrt (2y + 7) + 4 = y\r<BR>\n" );
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document.write( "  Thank You!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #30759 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=30759\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve and check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282y%2B7%29%2B4+=+y ALIGN=MIDDLE  ALT=\"sqrt%282y%2B7%29%2B4+=+y\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 4 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282y%2B7%29+=+y-4 ALIGN=MIDDLE  ALT=\"sqrt%282y%2B7%29+=+y-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now square both sides.(Caution! Squaring may introduce an extraneous root)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y%2B7+=+y%5E2-8y%2B16 ALIGN=MIDDLE  ALT=\"2y%2B7+=+y%5E2-8y%2B16\"   DISABLED_style= \"max-width:90%; height:auto;\" > Collect like-terms.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2-10y%2B9+=+0 ALIGN=MIDDLE  ALT=\"y%5E2-10y%2B9+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Solve by factoring.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-9%29%28y-1%29+=+0 ALIGN=MIDDLE  ALT=\"%28y-9%29%28y-1%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Apply the zero products principle.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-9+=+0 ALIGN=MIDDLE  ALT=\"y-9+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and/or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-1+=+0 ALIGN=MIDDLE  ALT=\"y-1+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The roots are(?):<BR>\n" );
document.write( "y = 9<BR>\n" );
document.write( "y = 1\r<BR>\n" );
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document.write( "Check y=9<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%289%29%2B7%29%2B4+=+sqrt%2825%29%2B4 ALIGN=MIDDLE  ALT=\"sqrt%282%289%29%2B7%29%2B4+=+sqrt%2825%29%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2B4+=+9 ALIGN=MIDDLE  ALT=\"5%2B4+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Checks! or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5%2B4+=+-1 ALIGN=MIDDLE  ALT=\"-5%2B4+=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "The last solution is an extraneous solution introduced by squaring. Remember that<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2825%29+=+%2B5 ALIGN=MIDDLE  ALT=\"sqrt%2825%29+=+%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5 ALIGN=MIDDLE  ALT=\"-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Check y=1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%281%29%2B7%29%2B4+=+sqrt%289%29%2B4 ALIGN=MIDDLE  ALT=\"sqrt%282%281%29%2B7%29%2B4+=+sqrt%289%29%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2B4+=+7 ALIGN=MIDDLE  ALT=\"3%2B4+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2B4+=+1 ALIGN=MIDDLE  ALT=\"-3%2B4+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > The first solution doesn't check. Extraneous solution was introduced when squaring during the solving process. </SPAN>\n" );
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