document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=342611>Question 342611</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help:\r<BR>\n" );
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document.write( "Write a quadratic equation in the variable x having the given numbers as solutions.  Type the equation in standard form, ax^2+bx+c=0.\r<BR>\n" );
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document.write( "+sqrt2,5sqrt2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #245219 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=245219\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \alpha\"> is a root of a polynomial equation, then <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\ -\ \alpha\"> must be a factor of the polynomial.  Since a quadratic equation has two roots, if you are given both of them, you can immediately derive the two factors of the quadratic trinomial:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \left(x\ -\ \sqrt{2}\right)\left(x\ -\ 5\sqrt{2}\right)\">\r<BR>\n" );
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document.write( "Just multiply the two binomials using FOIL.  Note:  Not all of the coefficients of your final answer will be rational.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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