document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1188452>Question 1188452</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the quadratic given its real roots 2-√3 and  2+√3 which passes through the point (1, -2). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #819542 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=819542\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the factors are x-2+sqrt(3) and x-2- sqrt(3)<BR>\n" );
document.write( "the basic form of the quadratic is x^2-4x+1, multiplying those factors together (there are 9 terms)<BR>\n" );
document.write( "y=a(x^2-4x+1) is the general form\r<BR>\n" );
document.write( "\n" );
document.write( "-2=a(-2)<BR>\n" );
document.write( "a=1<BR>\n" );
document.write( "a=(2/11)<BR>\n" );
document.write( "the equation is y=x^2-4x+1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-5%2C5%2C-5%2C5%2Cx%5E2-4x%2B1%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-5%2C5%2C-5%2C5%2Cx%5E2-4x%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );