document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=122798>Question 122798</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can anyone help with this problem?\r<BR>\n" );
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document.write( "Find two consecutive odd positive integers such that the twice the square of the larger minus the square of the smaller is 41 (check your answer)\r<BR>\n" );
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document.write( "larger = x<BR>\n" );
document.write( "smaller = y\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 #90161 by </B><A HREF=/tutors/aboutme.mpl?userid=oscargut><B>oscargut(2103)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oscargut><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=oscargut><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=90161\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If x is the larger and y the smallest then y=x-2 because are consecutive odds<BR>\n" );
document.write( "then 2x^2-(x-2)^2=41<BR>\n" );
document.write( " then x^2+4x-4=41 then x^2+4x-45=0 then x=5 or x=-9<BR>\n" );
document.write( " so x=5 and y=x-2=3\r<BR>\n" );
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document.write( "The numbers are  5 and 3\r<BR>\n" );
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document.write( "Check:\r<BR>\n" );
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document.write( "twice the square of the larger is 2(5^2)=50<BR>\n" );
document.write( "the square of the smaller is 3^2=9\r<BR>\n" );
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document.write( "so the twice the square of the larger minus the square of the smaller is 41  </SPAN>\n" );
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