document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1066845>Question 1066845</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write a quadratic function whose roots are 2+radical of 3 and 2- radical of 3 and passes through the point (1,4). Write your final answer in the form of y = ax^2 + bx + c.<BR>\n" );
document.write( "Many thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #682065 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=682065\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write a quadratic function whose roots are 2+radical of 3 and 2- radical of 3 and passes through the point (1,4). Write your final answer in the form of y = ax^2 + bx + c.<BR>\n" );
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document.write( "y = a(x-(2+sqrt(3))(x-(2-sqrt(3)))<BR>\n" );
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document.write( "y = a((x-2)-sqrt(3))((x-2)+sqrt(3))<BR>\n" );
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document.write( "y = a[(x-2)^2-3]<BR>\n" );
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document.write( "Use the point (1,4) to determine \"a\"::<BR>\n" );
document.write( "4 = a[(1-2)^2-3]<BR>\n" );
document.write( "4 = a[-2]<BR>\n" );
document.write( "a = -2<BR>\n" );
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document.write( "Ans: y = -2[x^2-4x+1]<BR>\n" );
document.write( "y = -2x^2 + 8x - 2<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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