document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=551836>Question 551836</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the maximum sum of 2 numbers given that the first plus the square of the second is equal to 30? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #360055 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=360055\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We want to maximize <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE S = a+b\"> given that <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE a+b^2 = 30\">. We can let a = 30 - b^2, so we want to maximize\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE S = (30 - b^2) + b = -b^2 + b + 30\">\r<BR>\n" );
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document.write( "Recall that the max/min of a quadratic function ax^2 + bx + c occurs at x = -b/2a. In this case, the maximum occurs at b = 1/2, which implies a = 119/4. Therefore a+b = 121/4. </SPAN>\n" );
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