document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=546144>Question 546144</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve. Check for extraneous solutions.\r<BR>\n" );
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document.write( "Question: Square root of quantity (3x+7)= x - 1\r<BR>\n" );
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document.write( "I keep getting x= 2 or -3, but when I check it they numbers dont work out.  Please show all the steps.\r<BR>\n" );
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document.write( "Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #355892 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=355892\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Square root of quantity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283x%2B7%29 ALIGN=MIDDLE  ALT=\"sqrt%283x%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = x - 1 <BR>\n" );
document.write( "Square both sides<BR>\n" );
document.write( "3x + 7 = (x-1)^2<BR>\n" );
document.write( "FOIL the right side<BR>\n" );
document.write( "3x + 7 = x^2 - 2x + 1<BR>\n" );
document.write( "Combine like terms on the right<BR>\n" );
document.write( "0 = x^2 - 2x - 3x + 1 - 7<BR>\n" );
document.write( "A quadratic equation<BR>\n" );
document.write( "x^2 - 5x - 6 = 0<BR>\n" );
document.write( "Factors to<BR>\n" );
document.write( "(x-6)(x+1) = 0<BR>\n" );
document.write( "Two solutions<BR>\n" );
document.write( "x = 6<BR>\n" );
document.write( "x = -1<BR>\n" );
document.write( "Check both solutions in the original equation<BR>\n" );
document.write( "x=6<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%286%29%2B7%29 ALIGN=MIDDLE  ALT=\"sqrt%283%286%29%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 6 - 1 <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2825%29 ALIGN=MIDDLE  ALT=\"sqrt%2825%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 6 - 1 <BR>\n" );
document.write( "5 = 5; x=6 is a good solution<BR>\n" );
document.write( "x=-1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%28-1%29%2B7%29 ALIGN=MIDDLE  ALT=\"sqrt%283%28-1%29%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = -1 - 1 <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%284%29 ALIGN=MIDDLE  ALT=\"sqrt%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = -2<BR>\n" );
document.write( "2 = -2, an extraneous solution  </SPAN>\n" );
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