document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=39403>Question 39403</A>: <I><SPAN STYLE=\"word-break: break-all;\"> three-quarters times the square of a positive integer number is 3 less than fives times the integer. find the integer </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #24842 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=24842\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the number be x.  Then<BR>\n" );
document.write( "(3/4)x^2 = 5x - 3<BR>\n" );
document.write( "Multiply by 4 to clear fractions...<BR>\n" );
document.write( "3x^2 = 20x - 12<BR>\n" );
document.write( "3x^2 - 20x + 12 = 0<BR>\n" );
document.write( "(3x - 2)(x - 6) = 0<BR>\n" );
document.write( "x = 2/3 or x = 6<BR>\n" );
document.write( "but 2/3 is not an integer, so<BR>\n" );
document.write( "x = 6. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );