document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=438128>Question 438128</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the x-intercepts of the graph of the equations.\r<BR>\n" );
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document.write( "y=x^2-1<BR>\n" );
document.write( "y=x^2-2x+35<BR>\n" );
document.write( "y=x^2-3x+2<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #303071 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=303071\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Replace each y by 0, and solve for the corresponding x-values.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+x%5E2+-+1 ALIGN=MIDDLE  ALT=\"0+=+x%5E2+-+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > ==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+=+1 ALIGN=MIDDLE  ALT=\"x%5E2+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >==> x-intercepts are -1, 1\r<BR>\n" );
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document.write( "The discriminant 4-4*1*35 = 4 - 140 = -136 < 0  ==> there are no x-intercepts for the second function.\r<BR>\n" );
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document.write( "For the third, (x - 1)(x - 2) = 0 ==> x-intercepts are 1,2\r<BR>\n" );
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