document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=942754>Question 942754</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ind two numbers whose sum is 14 such that the sum of their squares is a minimum. (If a solution has a multiplicity of two, enter it in consecutive answer boxes.)<BR>\n" );
document.write( "  (smaller value)<BR>\n" );
document.write( "  (larger value)<BR>\n" );
document.write( "Need Help? Read It Practice It \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #574729 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39630)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=574729\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^2+y^2=f(something), naming a function.<BR>\n" );
document.write( "and <BR>\n" );
document.write( "x+y=14\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=14-x ALIGN=MIDDLE  ALT=\"y=14-x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=x%5E2%2B%2814-x%29%5E2 ALIGN=MIDDLE  ALT=\"f%28x%29=x%5E2%2B%2814-x%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=x%5E2%2B196-28x%2Bx%5E2 ALIGN=MIDDLE  ALT=\"f%28x%29=x%5E2%2B196-28x%2Bx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=2x%5E2-28x%2B196 ALIGN=MIDDLE  ALT=\"f%28x%29=2x%5E2-28x%2B196\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=2%28x%5E2-14x%2B98%29 ALIGN=MIDDLE  ALT=\"f%28x%29=2%28x%5E2-14x%2B98%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The minimum of f is the vertex, and just the quadratic factor part is needed for this.  Factorable?\r<BR>\n" );
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document.write( "98=2*59, maybe not factorable.\r<BR>\n" );
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document.write( "Completing the Square to put into standard form,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-14x%2B%2814%2F2%29%5E2%2B98-%2814%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"x%5E2-14x%2B%2814%2F2%29%5E2%2B98-%2814%2F2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-14x%2B49%2B98-49 ALIGN=MIDDLE  ALT=\"x%5E2-14x%2B49%2B98-49\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-7%29%5E2%2B98-49 ALIGN=MIDDLE  ALT=\"%28x-7%29%5E2%2B98-49\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-7%29%5E2%2B49 ALIGN=MIDDLE  ALT=\"%28x-7%29%5E2%2B49\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The vertex, a minimum point, is (7, 49).<BR>\n" );
document.write( "The value for x is 7, so this means, according to the given description, y is also 7. </SPAN>\n" );
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