document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=392639>Question 392639</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me solve this equation<BR>\n" );
document.write( "The difference between the squares of two odd numbers is 48. What are the numbers? i have been given a tip which is if the larger of the two numbers is x, then the smaller number is x-2. Form an equation and solve?  <BR>\n" );
document.write( "Please would you help me solve and show me how to work it out please? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #278681 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=278681\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The difference between the squares of two odd numbers is 48. <BR>\n" );
document.write( "1st odd: 2x-1<BR>\n" );
document.write( "2nd odd: 2x+1<BR>\n" );
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document.write( "What are the numbers? <BR>\n" );
document.write( "---<BR>\n" );
document.write( "Form an equation and solve?<BR>\n" );
document.write( "(2x-1)^2 - (2x+1)^2 = 48<BR>\n" );
document.write( "4x^2-4x+1-[4x^2+4x+1] = 48<BR>\n" );
document.write( "----<BR>\n" );
document.write( "-8x = 48<BR>\n" );
document.write( "x = -6<BR>\n" );
document.write( "---<BR>\n" );
document.write( "1st: 2x-1 = -13<BR>\n" );
document.write( "2nd 2x+1 = -11<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "(-13)^2-(-11)^2 = 48<BR>\n" );
document.write( "169 - 121 = 48<BR>\n" );
document.write( "48 = 48<BR>\n" );
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document.write( "Note: You could also use the equation (2x+1)^2-(2x-1)^2 = 48<BR>\n" );
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document.write( "By the way, x and x-2 do not represent 2 odd numbers.  Odd<BR>\n" );
document.write( "numbers are always one less than or one greater than an <BR>\n" );
document.write( "even number.<BR>\n" );
document.write( "Use 2x-1 and 2x+1 to represent 2 consecutive odd numbers.<BR>\n" );
document.write( "==================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );