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 #24846 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=24846\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Translating the problem description into algebra:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F4%29n%5E2+=+5n-3 ALIGN=MIDDLE  ALT=\"%283%2F4%29n%5E2+=+5n-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify and solve for n. Mutliply through by 4 to clear the fraction.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3n%5E2+=+20n-12 ALIGN=MIDDLE  ALT=\"3n%5E2+=+20n-12\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3n%5E2-20n%2B12+=+0 ALIGN=MIDDLE  ALT=\"3n%5E2-20n%2B12+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Solve the quadratic equation by factoring.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283n-2%29%28n-6%29+=+0 ALIGN=MIDDLE  ALT=\"%283n-2%29%28n-6%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Apply the zero products principle.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3n-2+=+0 ALIGN=MIDDLE  ALT=\"3n-2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and/or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n-6+=+0 ALIGN=MIDDLE  ALT=\"n-6+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3n-2+=+0 ALIGN=MIDDLE  ALT=\"3n-2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3n+=+2 ALIGN=MIDDLE  ALT=\"3n+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+2%2F3 ALIGN=MIDDLE  ALT=\"n+=+2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Discard this solution because you are looking for an integer.<BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n-6+=+0 ALIGN=MIDDLE  ALT=\"n-6+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+6 ALIGN=MIDDLE  ALT=\"n+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" > This is the required integer.\r<BR>\n" );
document.write( "\n" );
document.write( "Check:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F4%296%5E2+=+%283%2F4%2936 ALIGN=MIDDLE  ALT=\"%283%2F4%296%5E2+=+%283%2F4%2936\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 27<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%286%29-3+=+30-3 ALIGN=MIDDLE  ALT=\"5%286%29-3+=+30-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 27\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );