document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=272078>Question 272078</A>: <I><SPAN STYLE=\"word-break: break-all;\"> y= -1/2x^2 + 2x + 10\r<BR>\n" );
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document.write( "I have the vertex  (2, 12) and the y intercept (0,10) but I keep getting stuck with....<BR>\n" );
document.write( "x= -b +/- the square root of b^2 - 4ac over 2a.\r<BR>\n" );
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document.write( "I have it down to x= -2+/- the square root of 24 over -1 from there I am stuck </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #199110 by </B><A HREF=/tutors/aboutme.mpl?userid=dabanfield><B>dabanfield(803)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dabanfield><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=199110\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y= -1/2x^2 + 2x + 10 <BR>\n" );
document.write( "I have the vertex (2, 12) and the y intercept (0,10) but I keep getting stuck with....<BR>\n" );
document.write( "x= -b +/- the square root of b^2 - 4ac over 2a. <BR>\n" );
document.write( "I have it down to x= -2+/- the square root of 24 over -1 from there I am stuck\r<BR>\n" );
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document.write( "If you are supposed to solve the above for x we need to get the equation in the form:\r<BR>\n" );
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document.write( "ax^2 + bx + c = 0\r<BR>\n" );
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document.write( "-1/2x^2 + 2x + 10 = 0\r<BR>\n" );
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document.write( "In this case we have a = -1/2, b = 2 and c = 10. Using the quadratic formula then gives you:\r<BR>\n" );
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document.write( "-2 +- [sqrt(2^2 - 4*-1/2*10)]/(2*-1/2) =\r<BR>\n" );
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document.write( "-2 +- sqrt(4 + 20)/-1 =\r<BR>\n" );
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document.write( "-2 +- sqrt(24)/-1\r<BR>\n" );
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document.write( "The two solutions then are:\r<BR>\n" );
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document.write( "-2 - sqrt(24) and<BR>\n" );
document.write( "-2 + sqrt(24)\r<BR>\n" );
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document.write( "sqrt(24) = sqrt(4*6) = sqrt(4)*sqrt(6) = 2*sqrt(6) so<BR>\n" );
document.write( "we can rewrite the solutions as:\r<BR>\n" );
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document.write( "-2 - 2*sqrt(6)<BR>\n" );
document.write( "-2 + 2*sqrt(6)  </SPAN>\n" );
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