document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=167407>Question 167407</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A student is asked to solve the equation <BR>\n" );
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document.write( "x^2 +x - 6 = 5\r<BR>\n" );
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document.write( "The student gives the following steps:<BR>\n" );
document.write( "(x - 2)(x + 3) = 5<BR>\n" );
document.write( "(x - 2) = 5   (x + 3) = 5<BR>\n" );
document.write( "x = 7          x = 2\r<BR>\n" );
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document.write( "Explain whether or not this is correct, and make any necessary corrections.\r<BR>\n" );
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document.write( "Please help me with this one. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #123320 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=123320\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A student is asked to solve the equation <BR>\n" );
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document.write( "x^2 +x - 6 = 5\r<BR>\n" );
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document.write( "The student gives the following steps:<BR>\n" );
document.write( "(x - 2)(x + 3) = 5<BR>\n" );
document.write( "The next step is wrong.  There is no rea-1son to think<BR>\n" );
document.write( "that the factors each equal 5.<BR>\n" );
document.write( "(x - 2) = 5   (x + 3) = 5<BR>\n" );
document.write( "x = 7          x = 2\r<BR>\n" );
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document.write( "Explain whether or not this is correct, and make any necessary corrections.<BR>\n" );
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document.write( "Correct procedures:<BR>\n" );
document.write( "x^2 +x - 6 = 5<BR>\n" );
document.write( "x^2 +x -11 = 0<BR>\n" );
document.write( "x = [-1 +- sqrt(1-4*1*-11)]/2<BR>\n" );
document.write( "x = [-1 +- sqrt(45)]/2<BR>\n" );
document.write( "x = [-1 +- 3sqrt(5)]/2<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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