document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=265280>Question 265280</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the intersection of the quadratic equations -x^2+1 and x^2-2x-3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #195088 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=195088\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the intersection of the quadratic equations -x^2+1 and x^2-2x-3<BR>\n" );
document.write( "When they intersect they must be equal:<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "-x^2+1 = x^2-2x-3<BR>\n" );
document.write( "2x^2 - 2x  -4 = 0<BR>\n" );
document.write( "x^2 -x - 2 = 0<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "(x-2)(x+1) = 0<BR>\n" );
document.write( "x = 2 or x = -1<BR>\n" );
document.write( "------<BR>\n" );
document.write( "If x = 2, y = -(2^2)+1 = -3<BR>\n" );
document.write( "If x = -1, y = -(-1)^2 + 1 = 2<BR>\n" );
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document.write( "Solution: (2,-3) and (-1,2)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );