document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=173002>Question 173002</A>: <I><SPAN STYLE=\"word-break: break-all;\"> [] means a blank spot..<BR>\n" );
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document.write( "Complete the square. \r<BR>\n" );
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document.write( "1.   x'2 + 60x + [] \r<BR>\n" );
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document.write( "2.   x'2 – 7x + []<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.   x'2 – 6x – 16 = 0 \r<BR>\n" );
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document.write( "4.   x'2 – 14x + 74 = 0  \r<BR>\n" );
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document.write( "5.   3x'2 + 5x – 28 = 0 \r<BR>\n" );
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document.write( "6.   4x'2 – 6x + 3 = 0 \r<BR>\n" );
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document.write( "please write the answers. im really needy\r<BR>\n" );
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document.write( "  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #127865 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=127865\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Complete the square.<BR>\n" );
document.write( "1. x'2 + 60x + []<BR>\n" );
document.write( "Take 1/2 the 'b' coefficient (60) and square it:<BR>\n" );
document.write( "(1/2)(60) = 30<BR>\n" );
document.write( "square that:<BR>\n" );
document.write( "30^2 = 900<BR>\n" );
document.write( "x'2 + 60x + 900<BR>\n" );
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document.write( "2. x'2 – 7x + []<BR>\n" );
document.write( "(1/2)(-7) = -7/2<BR>\n" );
document.write( "square that:<BR>\n" );
document.write( "49/4<BR>\n" );
document.write( "x'2 – 7x + 49/4<BR>\n" );
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document.write( "________________________________________________________________________-<BR>\n" );
document.write( "Solve each equation by completing the square.<BR>\n" );
document.write( "3. x'2 – 6x – 16 = 0<BR>\n" );
document.write( "x'2 – 6x = 16<BR>\n" );
document.write( "x'2 – 6x + 9 = 16 + 9<BR>\n" );
document.write( "(x-3)^2 = 25<BR>\n" );
document.write( "x-3 = (+-)5<BR>\n" );
document.write( "x = (+-)5+3<BR>\n" );
document.write( "x = {-2, 8}<BR>\n" );
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document.write( "4. x'2 – 14x + 74 = 0<BR>\n" );
document.write( "x'2 – 14x = -74<BR>\n" );
document.write( "x'2 – 14x + 49 = -74 +49<BR>\n" );
document.write( "(x-7)^2 = -25<BR>\n" );
document.write( "x-7 = (+-)5i<BR>\n" );
document.write( "x = (+-)5i + 7<BR>\n" );
document.write( "x = {(7+5i), (7-5i)}<BR>\n" );
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document.write( "5. 3x'2 + 5x – 28 = 0<BR>\n" );
document.write( "3x'2 + 5x = 28<BR>\n" );
document.write( "3(x'2 + (5/3)x) = 28<BR>\n" );
document.write( "3(x'2 + (5/3)x + 25/36) = 28 + 25/13<BR>\n" );
document.write( "3(x+ 5/6)^2 = 364/13 + 25/13<BR>\n" );
document.write( "3(x+ 5/6)^2 = 389/13<BR>\n" );
document.write( "(x+ 5/6)^2 = 389/39<BR>\n" );
document.write( "x+ 5/6 = (+-)3.1582<BR>\n" );
document.write( "x = {-3.992, 2.325}<BR>\n" );
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document.write( "6. 4x'2 – 6x + 3 = 0 <BR>\n" );
document.write( "4x'2 – 6x = -3<BR>\n" );
document.write( "4(x'2 – (6/4)x) = -3<BR>\n" );
document.write( "4(x'2 – (6/4)x + 9/16) = -3 + 9/4<BR>\n" );
document.write( "4(x + 3/4)^2 = -12/4 + 9/4<BR>\n" );
document.write( "4(x + 3/4)^2 = -2/4<BR>\n" );
document.write( "(x + 3/4)^2 = -2/8<BR>\n" );
document.write( "(x + 3/4)^2 = -1/4<BR>\n" );
document.write( "x + 3/4 = (+-)1/2i<BR>\n" );
document.write( "x = (+-).5i - 3/4<BR>\n" );
document.write( "x = {(-3/4 + .5i), (-3/4 - .5i)}<BR>\n" );
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