document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=879489>Question 879489</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Dear Math Tutor,\r<BR>\n" );
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document.write( "Please help me with: Write x^2 + 10x + 38 in the form (x+b)^2+c where the values of b and c are to be found.\r<BR>\n" );
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document.write( "a) State the minimum value of x^2 + 10x + 38 and the value of x for which this occurs.<BR>\n" );
document.write( "b) Determine the values of x for which x2+10x+38 is greater than or equal to 22.\r<BR>\n" );
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document.write( "Completed square form of x^2 + 10x + 38 is (x+5)^2 + 13 <BR>\n" );
document.write( "therefore b=-5  and c=13\r<BR>\n" );
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document.write( "a) minimum value of x^2 + 10x + 38 is x less than or equal to 13\r<BR>\n" );
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document.write( "b) 12x+38=22<BR>\n" );
document.write( "x=-1 and 1/3 or -4/3\r<BR>\n" );
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document.write( "so values for which x2+10x+38 is greater than or equal to 22 is x must be greater than or equal to -4/3.\r<BR>\n" );
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document.write( "Is all of that correct? I cant help but feel Im missing something as its out of 12 marks.\r<BR>\n" );
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document.write( "Please advise,\r<BR>\n" );
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document.write( "With gratitude<BR>\n" );
document.write( "Nat<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 #530820 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=530820\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  x^2 + 10x + 38 = (x+5)^2 + 13  Nice Work<BR>\n" );
document.write( "a) minimum value of x^2 + 10x + 38 is  13 when x = -5 <BR>\n" );
document.write( "b) 22 &#8804; (x+5)^2 + 13<BR>\n" );
document.write( "   9  &#8804; (x+5)^2<BR>\n" );
document.write( "  ±3 &#8804; x+5<BR>\n" );
document.write( " -8 &#8804; x &#8804; -2<BR>\n" );
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