document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=975672>Question 975672</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The square of one number is 23 less than the square of a second number. If the second number is 1 more than the first, what are the two numbers?\r<BR>\n" );
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document.write( "If x represents the smaller number, then which of the following quadratic equations represents the word problem? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #597361 by </B><A HREF=/tutors/aboutme.mpl?userid=algebrahouse.com><B>algebrahouse.com(1659)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=algebrahouse.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=algebrahouse.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=597361\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = one number<BR>\n" );
document.write( "x + 1 = second number {second number is 1 more than the first}\r<BR>\n" );
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document.write( "x² = (x + 1)² - 23 {square of one number is 23 less than square of second}<BR>\n" );
document.write( "x² = x² + 2x + 1 - 23 {squared the binomial with the foil method}<BR>\n" );
document.write( "0 = 2x - 22 {subtracted x² from each side and combined like terms}<BR>\n" );
document.write( "2x = 22 {added 22 to each side}<BR>\n" );
document.write( "x = 11 {divided each side by 2}<BR>\n" );
document.write( "x + 1 = 12 {substituted 11, in for x, into x + 1}\r<BR>\n" );
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document.write( "11 is the first number<BR>\n" );
document.write( "12 is the second number<BR>\n" );
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