document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=981156>Question 981156</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find two consecutive positive integers such that the square of the second integer added to 5 times the first is equal to 229.omarroberts0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #602195 by </B><A HREF=/tutors/aboutme.mpl?userid=LinnW><B>LinnW(1048)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=LinnW><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=LinnW><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=602195\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x equal the first number<BR>\n" );
document.write( "x + 2 equals the second number<BR>\n" );
document.write( "The square of the second is (x + 2)^2<BR>\n" );
document.write( "5 times the first number is 5(x)<BR>\n" );
document.write( "(x + 2)^2 + 5(x) = 229<BR>\n" );
document.write( "x^2 + 4x + 4 + 5x = 229<BR>\n" );
document.write( "x^2 + 9x + 4 = 229<BR>\n" );
document.write( "add -4 to each side<BR>\n" );
document.write( "x^2 + 9x  = 225<BR>\n" );
document.write( "add -225 to each side<BR>\n" );
document.write( "x^2 + 9x - 225 = 0<BR>\n" );
document.write( "It turns out that there is not an integer solution to the equation<BR>\n" );
document.write( "so there is not a solution to the problem as stated.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );