document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1053110>Question 1053110</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The difference between the square of a positive integer and the square of one half the number is 243. Find the number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #668366 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=668366\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> number is x<BR>\n" );
document.write( "x^2-(x/2)^2=243<BR>\n" );
document.write( "x^2-(1/4)x^2=243<BR>\n" );
document.write( "(3/4)x^2=243<BR>\n" );
document.write( "x^2=243*4/3=324<BR>\n" );
document.write( "x=sqrt(324)=18<BR>\n" );
document.write( "the number is 18, its square is 324, and half of 18 squared is 81, which is 243 less than 324. </SPAN>\n" );
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