document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=64103>Question 64103</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The problem is <BR>\n" );
document.write( "X3 + X2 is less than or equal to 4X +4\r<BR>\n" );
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document.write( "How do you derive the quadratic formula using \"complete the square\"?<BR>\n" );
document.write( "Thank you <BR>\n" );
document.write( "Sandra Gardner </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #44750 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=44750\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The problem is <BR>\n" );
document.write( "X^3 + X^2 is less than or equal to 4X +4<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "x^3+x^2<=4x+4<BR>\n" );
document.write( "x^3+x^2-4x-4<=0<BR>\n" );
document.write( "x^2(x+1)-4(x+1)<=0<BR>\n" );
document.write( "(x+1)(x^2-4)=0<BR>\n" );
document.write( "(x+1)(x-2)(x+2)=0<BR>\n" );
document.write( "x=-1 or x=2 or x=-2<BR>\n" );
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document.write( "How do you derive the quadratic formula using \"complete the square\"?<BR>\n" );
document.write( "ax^2+bx+c=0<BR>\n" );
document.write( "ax^2+by+? = -c+?<BR>\n" );
document.write( "Complete the square:<BR>\n" );
document.write( "a(x^2+(b/a)x+(b/2a)^2)=-c+a(b/2a)^2<BR>\n" );
document.write( "a(x+(b/2a))^2 = -c+ab^2/4a<BR>\n" );
document.write( "(x+b/2a)^2 =(b^2-4ac)/4a^2<BR>\n" );
document.write( "Take the square root to get:<BR>\n" );
document.write( "x+(b/2a)=+-sqrt[(b^2-4ac)/4a^2]<BR>\n" );
document.write( "x=-(b/2a)+-sqrt[b^2-4ac]/2a<BR>\n" );
document.write( "x=[-b+-sqrt(b^2-4ac)]/2a<BR>\n" );
document.write( "==============<BR>\n" );
document.write( "Cheers,\r<BR>\n" );
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document.write( "Stan H. </SPAN>\n" );
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