document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=974021>Question 974021</A>: <I><SPAN STYLE=\"word-break: break-all;\"> By completing the square, or otherwise, prove that the inequality x^2 - 2px + q > 0 holds for all values of x if an only if q > p^2.\r<BR>\n" );
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document.write( "Find the range of values of x in terms of p for which the inequality is broken if q = p^2 - 1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #596041 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=596041\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The discriminant must be negative.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2p%29%5E2-4%2Aq%3C0 ALIGN=MIDDLE  ALT=\"%28-2p%29%5E2-4%2Aq%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4p%5E2-4q%3C0 ALIGN=MIDDLE  ALT=\"4p%5E2-4q%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E2-q%3C0 ALIGN=MIDDLE  ALT=\"p%5E2-q%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E2%3Cq ALIGN=MIDDLE  ALT=\"p%5E2%3Cq\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q%3Ep%5E2 ALIGN=MIDDLE  ALT=\"q%3Ep%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "That may or may not be too helpful for your second question, and you might want to ask that again in another help posting request.  Before doing that, try solving <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-px%2Bp%5E2-1%3E0 ALIGN=MIDDLE  ALT=\"x%5E2-px%2Bp%5E2-1%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and see what you find.  (General solution for a quadratic equation). </SPAN>\n" );
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