document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=958024>Question 958024</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Bill and Jenna are solving the quadratic equation x^2 - x = 12. \r<BR>\n" );
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document.write( "Bill solved this way \r<BR>\n" );
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document.write( "x^2 - x = 12 \r<BR>\n" );
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document.write( "x(x - 1) = 12\r<BR>\n" );
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document.write( "x = 12 or 13 \r<BR>\n" );
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document.write( "Jenna solved this way \r<BR>\n" );
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document.write( "x^2 - x = 12 \r<BR>\n" );
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document.write( "x^2 - x - 12 = 0 \r<BR>\n" );
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document.write( "(x - 4)(x + 3) = 0 \r<BR>\n" );
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document.write( "x = 4 or x = -3\r<BR>\n" );
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document.write( "Which student is correct?\r<BR>\n" );
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document.write( "What error did the other student make when solving?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #585476 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=585476\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Bill is incorrect<BR>\n" );
document.write( "Jenna is correct\r<BR>\n" );
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document.write( "Bill used the zero product property wrong. He needs to have the equation in the form A*B = 0. The right side must be 0 for it to work.\r<BR>\n" );
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document.write( "Jenna did it correctly because (x - 4)(x + 3) = 0 is indeed in the form A*B = 0 where A = x-4 and B = x+3. Setting each expression equal to zero and solving each sub-equation leads to the correct answers.\r<BR>\n" );
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document.write( "Jim\r<BR>\n" );
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