document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=171525>Question 171525</A>: <I><SPAN STYLE=\"word-break: break-all;\">   \r<BR>\n" );
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document.write( " Complete the square. \r<BR>\n" );
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document.write( "1.   x2 + 60x + \r<BR>\n" );
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document.write( "2.   x2 – 7x +   \r<BR>\n" );
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document.write( "Solve each equation by completing the square.\r<BR>\n" );
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document.write( "3.   x2 – 6x – 16 = <BR>\n" );
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document.write( "4.   x2 – 14x + 74 = 0 <BR>\n" );
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document.write( "5.   3x2 + 5x – 28 = 0 <BR>\n" );
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document.write( "6.   4x2 – 6x + 3 = 0  \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #126687 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=126687\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve by completing the square\r<BR>\n" );
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document.write( "Step 1:  Add the additive inverse of the constant term to both sides, leaving the constant term on the right.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2%2Bbx%2Bc=0 ALIGN=MIDDLE  ALT=\"ax%5E2%2Bbx%2Bc=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2%2B+bx=-c ALIGN=MIDDLE  ALT=\"ax%5E2%2B+bx=-c\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 2:  If the coefficient on the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > term is other than 1, divide all terms by this coefficient.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B+%28b%2Fa%29x=-c%2Fa ALIGN=MIDDLE  ALT=\"x%5E2%2B+%28b%2Fa%29x=-c%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 3:  Divide the coefficient on the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > term by 2 and square the result.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b%2F2a%29%5E2=%28b%5E2%29%2F%284a%5E2%29 ALIGN=MIDDLE  ALT=\"%28b%2F2a%29%5E2=%28b%5E2%29%2F%284a%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B+%28b%2Fa%29x+%2B+%28b%5E2%29%2F%284a%5E2%29+=%28-c%2Fa%29%2B%28b%5E2%29%2F%284a%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 4:  Add the result of Step 3 to both sides of your equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B+%28b%2Fa%29x+%2B+%28b%5E2%29%2F%284a%5E2%29+=%28-c%2Fa%29%2B%28b%5E2%29%2F%284a%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 5:  You now have a perfect square polynomial on the left, so factor it.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B%28b%2F2a%29%29+=%28-c%2Fa%29%2B%28b%5E2%29%2F%284a%5E2%29 ALIGN=MIDDLE  ALT=\"%28x%2B%28b%2F2a%29%29+=%28-c%2Fa%29%2B%28b%5E2%29%2F%284a%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 6:  Simplify the right side as much as possible, then take the square root of both sides of the equation, remembering to include both the positive and negative root.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B%28b%2F2a%29%29+=++sqrt%28%28%28b%5E2%29-%284ac%29%29%2F%284a%5E2%29%29 ALIGN=MIDDLE  ALT=\"%28x%2B%28b%2F2a%29%29+=++sqrt%28%28%28b%5E2%29-%284ac%29%29%2F%284a%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B%28b%2F2a%29%29+=++-sqrt%28%28%28b%5E2%29-%284ac%29%29%2F%284a%5E2%29%29 ALIGN=MIDDLE  ALT=\"%28x%2B%28b%2F2a%29%29+=++-sqrt%28%28%28b%5E2%29-%284ac%29%29%2F%284a%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 7:  Simplify and solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4ac+%29%29%2F%282a%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4ac+%29%29%2F%282a%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "For your first two problems, just do steps 3 and 4.  For the rest, follow the entire process.  Hope that helps. </SPAN>\n" );
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