document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=853683>Question 853683</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the equation of the axis of symmetry of the graph y=4x^2-5x+16 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #514185 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=514185\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> More than one way to find it; although both are based on Completing the Square.\r<BR>\n" );
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document.write( "One way is find the two roots using general solution to a quadratic equation.  The axis of symmetry for this equation will be in the exact middle of the two roots.\r<BR>\n" );
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document.write( "Discriminant:  25-4*4*16=-231=-3*7*11\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=%285%2B-+i%2Asqrt%28231%29%29%2F8%29 ALIGN=MIDDLE  ALT=\"highlight%28x=%285%2B-+i%2Asqrt%28231%29%29%2F8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the zeros or roots.<BR>\n" );
document.write( "The exact middle is the AVERAGE of those.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%28%285%2F8%29%2B%285%2F8%29%29=10%2F%282%2A8%29=%282%2A5%29%2F%282%2A8%29=5%2F8 ALIGN=MIDDLE  ALT=\"%281%2F2%29%28%285%2F8%29%2B%285%2F8%29%29=10%2F%282%2A8%29=%282%2A5%29%2F%282%2A8%29=5%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----The i*sqrt(231) was ommitted because sum of the positive and negative of the expression will be zero.<BR>\n" );
document.write( "Axis of Symmetry: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=5%2F8%29 ALIGN=MIDDLE  ALT=\"highlight%28x=5%2F8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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