document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=860008>Question 860008</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find two consecutive positive integers such that the sum of the first and the squares of the second is 19 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #806102 by </B><A HREF=/tutors/aboutme.mpl?userid=CubeyThePenguin><B>CubeyThePenguin(3113)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CubeyThePenguin><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=CubeyThePenguin><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=806102\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> consecutive positive integers: x, (x+1)\r<BR>\n" );
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document.write( "x + (x+1)^2 = 19<BR>\n" );
document.write( "x + x^2 + 2x + 1 = 19<BR>\n" );
document.write( "x^2 + 3x - 18 = 0<BR>\n" );
document.write( "(x + 6)(x - 3) = 0<BR>\n" );
document.write( "x = -6, x = 3\r<BR>\n" );
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document.write( "x is positive, so the integers are 3 and 4. </SPAN>\n" );
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