document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=805484>Question 805484</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am working on an assignment for \"completing the square\" in quadratic functions. The problem I'm working on is \r<BR>\n" );
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document.write( "9x^2-12x+4=-3\r<BR>\n" );
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document.write( "I am struggling with putting this into vertex form.\r<BR>\n" );
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document.write( "Thank you very much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #485268 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=485268\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I am working on an assignment for \"completing the square\" in quadratic functions. The problem I'm working on is \r<BR>\n" );
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document.write( "9x^2-12x+4=-3<BR>\n" );
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document.write( "This is a tougher than necessary equation to learn comleting the square, but...<BR>\n" );
document.write( "9x^2-12x+4=-3<BR>\n" );
document.write( "Step 1, get the coefficient of x^2 to be 1.  Divide by 9<BR>\n" );
document.write( "x^2 - (4/3)x + 4/9 = -1/3<BR>\n" );
document.write( "Put the coefficients terms on the right<BR>\n" );
document.write( "x^2 - (4/3)x = -1/3 - 4/9 = -7/9<BR>\n" );
document.write( "Find the c term, where it's ax^2 + bx + c = ...<BR>\n" );
document.write( "c = (b/2a)^2<BR>\n" );
document.write( "Since a = 1, it's just (b/2)^2<BR>\n" );
document.write( "b = -4/3<BR>\n" );
document.write( "b/2 = -2/3<BR>\n" );
document.write( "(b/2)^2 = 4/9<BR>\n" );
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document.write( "Add c (= 4/9) to both sides<BR>\n" );
document.write( "x^2 - (4/3)x = -7/9<BR>\n" );
document.write( "x^2 - (4/3)x + 4/9 = -7/9 + 4/9 = -3/9<BR>\n" );
document.write( "x^2 - (4/3)x + 4/9 = -3/9 = -1/3<BR>\n" );
document.write( "Now the left side is a \"perfect square.\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+2%2F3%29%5E2+=+-1%2F3 ALIGN=MIDDLE  ALT=\"%28x+-+2%2F3%29%5E2+=+-1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Take the sqrt of both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+-+2%2F3+=+sqrt%28-1%2F3%29+=+i%2Asqrt%283%29%2F3 ALIGN=MIDDLE  ALT=\"x+-+2%2F3+=+sqrt%28-1%2F3%29+=+i%2Asqrt%283%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2%2F3+%2B+i%2Asqrt%283%29%2F3 ALIGN=MIDDLE  ALT=\"x+=+2%2F3+%2B+i%2Asqrt%283%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+-+2%2F3+=+sqrt%28-1%2F3%29+=+-i%2Asqrt%283%29%2F3 ALIGN=MIDDLE  ALT=\"x+-+2%2F3+=+sqrt%28-1%2F3%29+=+-i%2Asqrt%283%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2%2F3+-+i%2Asqrt%283%29%2F3 ALIGN=MIDDLE  ALT=\"x+=+2%2F3+-+i%2Asqrt%283%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Not a good teaching example, imo. </SPAN>\n" );
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