document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=391842>Question 391842</A>: <I><SPAN STYLE=\"word-break: break-all;\"> y= x -2x²-8 \r<BR>\n" );
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document.write( "Determine the zeros of your function. Give an algebraic reason for the existence or non-existence of real-valued zeros of your quadratic function. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #278011 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=278011\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Reorder the terms to produce <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-2x%5E2+%2B+x+-+8 ALIGN=MIDDLE  ALT=\"y+=+-2x%5E2+%2B+x+-+8\"   DISABLED_style= \"max-width:90%; height:auto;\" >. By the quadratic formula,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-1+%2B-+sqrt%281+-+16%29%29%2F%28-4%29+=+%281+%2B-+sqrt%28-15%29%29%2F4+=+%281+%2B-+sqrt%2815%29i%29%2F4 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >. Since the roots have an imaginary part not equal to zero, the zeros of the function are complex. </SPAN>\n" );
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