document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=996731>Question 996731</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One number is four more than the other. The square of the smaller number increased by three times the larger is 66. Find the two numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #615036 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=615036\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One number is four more than the other. The square of the smaller number increased by three times the larger is 66. Find the two numbers. <BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "x = y + 4<BR>\n" );
document.write( "Note:: That means \"y\" is the smaller number<BR>\n" );
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document.write( "y^2 + 3x = 66<BR>\n" );
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document.write( "Substitute for \"x\" and solve for \"y\"::<BR>\n" );
document.write( "y^2 + 3(y+4) - 66 = 0<BR>\n" );
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document.write( "y^2 + 3y - 54 = 0<BR>\n" );
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document.write( "(y-6)(y+9) = 0<BR>\n" );
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document.write( "y = 6 or y = -9<BR>\n" );
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document.write( "If y = 6, x = y+4 = 10<BR>\n" );
document.write( "If y = -9, x = y+4 = -5<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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