document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=869742>Question 869742</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Okay well I have broken down the equation of <BR>\n" );
document.write( "Y=-5x^2+30x-36<BR>\n" );
document.write( "Down to<BR>\n" );
document.write( "Y=-5(x^2-6x)-36<BR>\n" );
document.write( "I'm trying to break it down to standard form. <BR>\n" );
document.write( "Then it's telling me to recall that be constant term in a perfect square is the square of half of the coefficient of the linear term therefore 9 is added inside the parentheses to form a perfect square<BR>\n" );
document.write( "Leaving x^2-6x+9<BR>\n" );
document.write( "My question is where exactly did the 9 come from? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #524361 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=524361\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Y=-5x^2+30x-36\r<BR>\n" );
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document.write( "Y=-5(x^2-6x)-36\r<BR>\n" );
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document.write( "Recall (a-b)^2=a^2-2ab+b^2\r<BR>\n" );
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document.write( "we have a^2-2ab\r<BR>\n" );
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document.write( "which is<BR>\n" );
document.write( "x^2-(2)(3)x\r<BR>\n" );
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document.write( "adding 9 will make it a perfect square\r<BR>\n" );
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document.write( "x^2-(2)(3)(3)+9\r<BR>\n" );
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document.write( "we have added 9 so we have to subtract 9\r<BR>\n" );
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document.write( "x^2-6x+9-9\r<BR>\n" );
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document.write( "Finally we have<BR>\n" );
document.write( "y= -5(x^2-6x+9-9) -36\r<BR>\n" );
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document.write( "y=-5((x-3)^2-9)-6^2\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );