document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=374576>Question 374576</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The difference between two positive integers is 4. If the smaller is added to the square root of the larger, the sum is 86. find the integers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #266457 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=266457\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let the integers be x  x+4<BR>\n" );
document.write( "..<BR>\n" );
document.write( "x+sqrt(x+4)=86<BR>\n" );
document.write( "sqrt(x+4)=86-x<BR>\n" );
document.write( "square both sides<BR>\n" );
document.write( "x+4=(86-x)^2<BR>\n" );
document.write( "x+4 = 7396-172x+x^2<BR>\n" );
document.write( "x^2-172x-x+7396-4=0<BR>\n" );
document.write( "x^2-173x+7392=0<BR>\n" );
document.write( "x^2-96x-77x+7392=0<BR>\n" );
document.write( "x(x-96)-77(x-96)=0<BR>\n" );
document.write( "(x-96)(x-77)=0<BR>\n" );
document.write( "x= 96 OR 77<BR>\n" );
document.write( "numbers are 77 & 81<BR>\n" );
document.write( "..<BR>\n" );
document.write( "m.ananth@hotmail.ca </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );