document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=225322>Question 225322</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can anyone explain this to me, I am stumped and can't figure it out. Please I need help..\r<BR>\n" );
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document.write( "1. 4X2 - 4X+3= 0<BR>\n" );
document.write( "2. X2+12X-64=0 \r<BR>\n" );
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document.write( "a. move the constant term to the right side of the equation<BR>\n" );
document.write( "b. multiply each term in the equation by four times the cofficient of the x2 term<BR>\n" );
document.write( "c. square the coefficient of the original x term and add it to both sides of the equation<BR>\n" );
document.write( "d. take the square root of both sides<BR>\n" );
document.write( "e. set the left side of the equation equal to the positive square root of the number on the right side and slove for x<BR>\n" );
document.write( "f. set the left side of the equation equal to the negative square root of the number on the right side of the equation and slove for x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #168155 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=168155\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First let me say that this is an odd (and incomplete) way of completing the square. Anyway, let's proceed...<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2-4x+%2B+3+=+0 ALIGN=MIDDLE  ALT=\"4x%5E2-4x+%2B+3+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a. move the constant term to the right side of the equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2-4x+=+-3 ALIGN=MIDDLE  ALT=\"4x%5E2-4x+=+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b. multiply each term in the equation by four times the cofficient of the x2 term<BR>\n" );
document.write( "4*4 = 16 so:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%284x%5E2-4x%29+=+16%28-3%29 ALIGN=MIDDLE  ALT=\"16%284x%5E2-4x%29+=+16%28-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=64x%5E2+-+64x+=+-48 ALIGN=MIDDLE  ALT=\"64x%5E2+-+64x+=+-48\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "c. square the coefficient of the original x term and add it to both sides of the equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-4%29%5E2+=+16 ALIGN=MIDDLE  ALT=\"%28-4%29%5E2+=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" > so:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=64x%5E2+-+64x+%2B+16+=+-32 ALIGN=MIDDLE  ALT=\"64x%5E2+-+64x+%2B+16+=+-32\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A step that is missing here is to write the left side as a perfect square. After the steps so far the left side should fit one of the following patterns:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+%2B2ab+%2B+b%5E2+=+%28a%2Bb%29%5E2 ALIGN=MIDDLE  ALT=\"a%5E2+%2B2ab+%2B+b%5E2+=+%28a%2Bb%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+-2ab+%2B+b%5E2+=+%28a-b%29%5E2 ALIGN=MIDDLE  ALT=\"a%5E2+-2ab+%2B+b%5E2+=+%28a-b%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Your equation fits the second pattern with \"8x\" as \"a\" and \"4\" as \"b\":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288x+-+4%29%5E2+=+-32 ALIGN=MIDDLE  ALT=\"%288x+-+4%29%5E2+=+-32\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d. take the square root of both sides<BR>\n" );
document.write( "At this point, with this equation, we have a problem. The left side is a perfect square. The right side is a negative number. Unless we are working with complex numbers, there are no perfect squares that are negative. So this equation has no solutions.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+12x+-64+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+12x+-64+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a. move the constant term to the right side of the equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+12x+=+64 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+12x+=+64\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b. multiply each term in the equation by four times the cofficient of the x2 term<BR>\n" );
document.write( "4*1 = 4 so:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28x%5E2+%2B+12x%29+=+4%2864%29 ALIGN=MIDDLE  ALT=\"4%28x%5E2+%2B+12x%29+=+4%2864%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2+%2B+48x+=+256 ALIGN=MIDDLE  ALT=\"4x%5E2+%2B+48x+=+256\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "c. square the coefficient of the original x term and add it to both sides of the equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%5E2+=+144 ALIGN=MIDDLE  ALT=\"12%5E2+=+144\"   DISABLED_style= \"max-width:90%; height:auto;\" > so:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2+%2B+48x+%2B+144+=+400 ALIGN=MIDDLE  ALT=\"4x%5E2+%2B+48x+%2B+144+=+400\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Missing step: Rewrite as a perfect square. The left side fits the first perfect square pattern (see above) with \"2x\" as \"a\" and \"12\" as \"b\":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x+%2B+12%29%5E2+=+400 ALIGN=MIDDLE  ALT=\"%282x+%2B+12%29%5E2+=+400\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d. take the square root of both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%282x+%2B+12%29%5E2%29+=+sqrt%28400%29 ALIGN=MIDDLE  ALT=\"sqrt%28%282x+%2B+12%29%5E2%29+=+sqrt%28400%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "e. set the left side of the equation equal to the positive square root of the number on the right side and slove for x<BR>\n" );
document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28400%29+=+20 ALIGN=MIDDLE  ALT=\"sqrt%28400%29+=+20\"   DISABLED_style= \"max-width:90%; height:auto;\" >:<BR>\n" );
document.write( "2x + 12 = 20<BR>\n" );
document.write( "2x = 8<BR>\n" );
document.write( "x = 4<BR>\n" );
document.write( "f. set the left side of the equation equal to the negative square root of the number on the right side of the equation and slove for x<BR>\n" );
document.write( "2x + 12 = -20<BR>\n" );
document.write( "2x = -32<BR>\n" );
document.write( "x = -16 </SPAN>\n" );
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