document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1075528>Question 1075528</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi,<BR>\n" );
document.write( "     I am working on a project and its asking me for a quadratic equation in standard form with 2 irrational solutions and the graph opens down. Can you give me an example of that?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #690167 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=690167\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> SIMPLE Example...\r<BR>\n" );
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document.write( "Starting with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%5E2 ALIGN=MIDDLE  ALT=\"y=x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, concave up; but you want concave downward...\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-x%5E2 ALIGN=MIDDLE  ALT=\"y=-x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, but still intersects the x-axis; you want to have NO x-axis intercepts.  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28y=-x%5E2-1%2F5%29 ALIGN=MIDDLE  ALT=\"highlight_green%28y=-x%5E2-1%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now, no more x-intercepts.  Concave down.  If you solve for the \"solutions\" when y=0, they will be two Complex numbers, neither Real numbers.  \r<BR>\n" );
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document.write( "Infinitely many examples will also fit what you asked.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%281%2F3%29%28x%2B2%29%5E2-7 ALIGN=MIDDLE  ALT=\"y=-%281%2F3%29%28x%2B2%29%5E2-7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2%28x-1%29%5E2-1 ALIGN=MIDDLE  ALT=\"y=-2%28x-1%29%5E2-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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