document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=60788>Question 60788</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you help me find the x-intercepts??<BR>\n" );
document.write( "y=x^2+6x+8 and <BR>\n" );
document.write( "y=x^2-2x+4\r<BR>\n" );
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document.write( "Thanks for your help!<BR>\n" );
document.write( "CH </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #41773 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=41773\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi CH<BR>\n" );
document.write( "find the x-intercepts??<BR>\n" );
document.write( "y=x^2+6x+8 and <BR>\n" );
document.write( "Let y=0 and solve for x.<BR>\n" );
document.write( "0=x^2+6x+8  Factor<BR>\n" );
document.write( "0=(x___)(x___)  the blank gets filled with two numbers that multiply to get 8 and add to get 6.  2*4=8 and 2+4=6<BR>\n" );
document.write( "0=(x+2)(x+4)  Let each parentheses=0<BR>\n" );
document.write( "x+2=0  and x+4=0<BR>\n" );
document.write( "x=-2 and x=-4<BR>\n" );
document.write( "The x-intercepts are (-2,0) and (-4,0)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "y=x^2-2x+4<BR>\n" );
document.write( "This has no x-intercepts.  It's not factorable.  If you're familiar with the discriminant:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac ALIGN=MIDDLE  ALT=\"b%5E2-4ac\"   DISABLED_style= \"max-width:90%; height:auto;\" >, you can tell if a quadratic equation has no x-intercepts if the discriminant is negative.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2%29%5E2-4%281%29%284%29=4-16=-12 ALIGN=MIDDLE  ALT=\"%28-2%29%5E2-4%281%29%284%29=4-16=-12\"   DISABLED_style= \"max-width:90%; height:auto;\" > There are no x-intercepts.<BR>\n" );
document.write( "Happy Calculating!!!<BR>\n" );
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