document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=926429>Question 926429</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two integers have a difference of -30. When the larger integer is increased by 3 and added to the square of the smaller integer, the result is 189 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #805646 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=805646\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x - y = -30<BR>\n" );
document.write( "x + 3 + y^2 = 189\r<BR>\n" );
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document.write( "Rearrange the first equation to get x = y - 30. Substitute this into the second equation.\r<BR>\n" );
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document.write( "x + 3 + y^2 = 189<BR>\n" );
document.write( "(y-30) + 3 + y^2 = 189<BR>\n" );
document.write( "y^2 + y - 27 = 189<BR>\n" );
document.write( "y^2 + y - 216 = 0\r<BR>\n" );
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document.write( "This equation has no integer solutions. </SPAN>\n" );
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