document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1057728>Question 1057728</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.What number needs to be added to both sides of the equation in order to complete the square?\r<BR>\n" );
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document.write( "x^2-18x=17\r<BR>\n" );
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document.write( "2.What are the roots of the equation?\r<BR>\n" );
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document.write( "4x^3-20x^2+24x=0\r<BR>\n" );
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document.write( "3.What are the roots of the equation?\r<BR>\n" );
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document.write( "x^6(6x-11)(7x-8)=0\r<BR>\n" );
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document.write( "4.Factor This.\r<BR>\n" );
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document.write( "6x^2-42x-54\r<BR>\n" );
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document.write( "5.Solve as exact values.\r<BR>\n" );
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document.write( "x^2-9x+3=0\r<BR>\n" );
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document.write( "6.What is the solution of the equation over the complex numbers as exact values?\r<BR>\n" );
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document.write( "x^2+20=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #672741 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=672741\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^2-18x+81 =17+81.  Take half the middle term and square it. This will be (x-9)^2=98, x-9=sqrt(98)=7 sqrt (2), and x=9+/-7 sqrt (2).<BR>\n" );
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document.write( "4x^3-20x^2+24x=0<BR>\n" );
document.write( "factor out a 4x<BR>\n" );
document.write( "4x(x^2-5x+6)=0<BR>\n" );
document.write( "4x(x-2)(x-3)=0<BR>\n" );
document.write( "roots are 0,2,3<BR>\n" );
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document.write( "x^6(6x-11)(7x-8)=0<BR>\n" );
document.write( "Set the factors equal to 0 and solve for x, which will be 0, 11/6, and 8/7.<BR>\n" );
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document.write( "6x^2-42x-54<BR>\n" );
document.write( "6(x^2-7x-9)<BR>\n" );
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document.write( "x^2-9x+3=0<BR>\n" );
document.write( "x=(1/2)(9 +/-sqrt(81-12))=(1/2)(9+sqrt(69)) and (1/2)(9-sqrt (69))<BR>\n" );
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document.write( "x^2=-20<BR>\n" );
document.write( "x=+/-sqrt(-4)*sqrt(5)<BR>\n" );
document.write( "+/- 2i sqrt (5) </SPAN>\n" );
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