document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1063607>Question 1063607</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For what values of b will the straight line y=2x+b not intersect the<BR>\n" );
document.write( "parabola y=x^2+3x-5 ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #678723 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</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=678723\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If they did intersect, you would equate the two expressions for y:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B3x-5=2x%2Bb ALIGN=MIDDLE  ALT=\"x%5E2%2B3x-5=2x%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B3x-2x-5-b=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B3x-2x-5-b=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Bx-%28b%2B5%29=0 ALIGN=MIDDLE  ALT=\"x%5E2%2Bx-%28b%2B5%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since you DO NOT want the line and parabola to intersect, then you want this equation to have NO REAL SOLUTIONS, and you must have the discriminant be negative.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%5E2-4%2A1%2A%28-1%28b%2B5%29%29%3C0 ALIGN=MIDDLE  ALT=\"1%5E2-4%2A1%2A%28-1%28b%2B5%29%29%3C0\"   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=1%2B4%28b%2B5%29%3C0 ALIGN=MIDDLE  ALT=\"1%2B4%28b%2B5%29%3C0\"   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=1%2B4b%2B20%3C0 ALIGN=MIDDLE  ALT=\"1%2B4b%2B20%3C0\"   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=4b%3C-21 ALIGN=MIDDLE  ALT=\"4b%3C-21\"   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=highlight%28b%3C-21%2F4%29 ALIGN=MIDDLE  ALT=\"highlight%28b%3C-21%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---------the requirement so that your given line and parabola do not intersect. </SPAN>\n" );
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