document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=69482>Question 69482</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the x-intercepts y = x^2 + 5x + 2\r<BR>\n" );
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document.write( "How do I find the x intercept?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #49544 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=49544\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the x-intercepts y = x^2 + 5x + 2 <BR>\n" );
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document.write( "The x intercepts occur when y = 0 so just write it as follows and find x:<BR>\n" );
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document.write( "x^2 + 5x + 2 = 0<BR>\n" );
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document.write( "This cannot be easily factored (no integer solutions) so use the quadratic formula<BR>\n" );
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document.write( "  in the form ax^2 + bx + c: a=1; b=5 and c=2<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Substitute for a, b, & c<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-5+%2B-+sqrt%28+5%5E2-4%2A1%2A2+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-5+%2B-+sqrt%28+5%5E2-4%2A1%2A2+%29%29%2F%282%2A1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-5+%2B-+sqrt%28+25+-+8+%29%29%2F%282%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-5+%2B-+sqrt%28+25+-+8+%29%29%2F%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The solutions are:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-5+%2B+sqrt%28+17+%29%29%2F%282%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-5+%2B+sqrt%28+17+%29%29%2F%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-5+-+sqrt%28+17+%29%29%2F%282%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-5+-+sqrt%28+17+%29%29%2F%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "In decimals it would be x = -4.561553 and x = -0.4384472<BR>\n" );
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document.write( "A graphical presentation of the x intercepts:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-6%2C+4%2C+-8%2C+8%2C+x%5E2+%2B+5x+%2B+2%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-6%2C+4%2C+-8%2C+8%2C+x%5E2+%2B+5x+%2B+2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Do you understand this now? </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );