document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=747677>Question 747677</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I would like some help on a problem concerning quadratic equations. Here is the problem. There are three consecutive numbers. When the largest one is squared, it is equal to 18 more than 9 times the smallest number. x^2+4x+4=9x+18. Please explain thoroughly and clearly, as I am in a deep fix. Can you also give me the three consecutive numbers? Thank you in advance </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #455062 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=455062\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I would like some help on a problem concerning quadratic equations. Here is the problem. There are three consecutive numbers. When the largest one is squared, it is equal to 18 more than 9 times the smallest number. x^2+4x+4=9x+18. Please explain thoroughly and clearly, as I am in a deep fix. Can you also give me the three consecutive numbers? Thank you in advance\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Let the smallest of the 3 consecutive integers be S<BR>\n" );
document.write( "Then the middle and largest integers are: S + 1, and S + 2, respectively<BR>\n" );
document.write( "Therefore, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28S+%2B+2%29%5E2+=+9S+%2B+18+ ALIGN=MIDDLE  ALT=\"%28S+%2B+2%29%5E2+=+9S+%2B+18+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5E2+%2B+4S+%2B+4+=+9S+%2B+18%29%29%29+%28you+have+up+to+here%29%0D%0A%0D%0A%0D%0A%7B%7B%7BS%5E2+%2B+4S+-+9S+%2B+4+%96+18+=+0 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5E2+-+5S+-+14+=+0 ALIGN=MIDDLE  ALT=\"S%5E2+-+5S+-+14+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(S – 7)(S + 2) = 0<BR>\n" );
document.write( "S, or smallest integer = 7, or – 2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Therefore, the 3 consecutive integers are either <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%287_8_9%29 ALIGN=MIDDLE  ALT=\"highlight_green%287_8_9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28-+2_-+1_0%29 ALIGN=MIDDLE  ALT=\"highlight_green%28-+2_-+1_0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "You can do the check!!\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Send comments and “thank-yous” to “D” at MathMadEzy@aol.com </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );