document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=16324>Question 16324</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I was just wondering if someone could tell me if I did this correctly or not and if not how to do it correctly. Thank you.<BR>\n" );
document.write( "Solve for x without using decimals:<BR>\n" );
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document.write( "        (2x + 3)^2 - (x - 2)^2 = 3<BR>\n" );
document.write( "(2x+3)(2x+3) – (x-2)(x-2) = 3<BR>\n" );
document.write( "4x^2 + 6x + 6x + 9 – x^2 – 2x – 2x + 4 = 3<BR>\n" );
document.write( "4x^2 + 12x + 9 – x^2 – 4x + 4 = 3<BR>\n" );
document.write( "4x^2 + 8x + 13 – x^2 = 3<BR>\n" );
document.write( "3x^2 + 8x + 13 = 3<BR>\n" );
document.write( "3x^2 + 8x + 10 = 0<BR>\n" );
document.write( "A = 3<BR>\n" );
document.write( "B = 8<BR>\n" );
document.write( "C = 10<BR>\n" );
document.write( "8^2 – 4*3*10 = -56<BR>\n" );
document.write( "No real solution.<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 #7961 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=7961\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Well, you started out ok, but when you got to the point of removing the second set of parentheses, you apparently forgot that it was preceeded by a negative sign which affects the sign of every term within these parentheses. So when you take the parentheses away, you must change the sign of each term within.\r<BR>\n" );
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document.write( "Solve for x:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B3%29%5E2+-+%28x-2%29%5E2+=+3 ALIGN=MIDDLE  ALT=\"%282x%2B3%29%5E2+-+%28x-2%29%5E2+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Perform the indicated multiplications.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%5E2+%2B+12x+%2B+9%29+-+%28x%5E2+-4x+%2B+4%29+=+3 ALIGN=MIDDLE  ALT=\"%284x%5E2+%2B+12x+%2B+9%29+-+%28x%5E2+-4x+%2B+4%29+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify. Remove the parentheses.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2+%2B+12x+%2B+9+-+x%5E2+%2B+4x+-+4+=+3 ALIGN=MIDDLE  ALT=\"4x%5E2+%2B+12x+%2B+9+-+x%5E2+%2B+4x+-+4+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Collect like-terms.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2+%2B+16x+%2B+5+=+3 ALIGN=MIDDLE  ALT=\"3x%5E2+%2B+16x+%2B+5+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 3 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2+%2B+16x+%2B+2+=+0 ALIGN=MIDDLE  ALT=\"3x%5E2+%2B+16x+%2B+2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use the quadratic formula to solve for x. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a ALIGN=MIDDLE  ALT=\"x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-16%2B-sqrt%2816%5E2+-+4%283%29%282%29%29%29%2F2%283%29 ALIGN=MIDDLE  ALT=\"x+=+%28-16%2B-sqrt%2816%5E2+-+4%283%29%282%29%29%29%2F2%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-16%2B-sqrt%28256+-+24%29%29%2F6 ALIGN=MIDDLE  ALT=\"x+=+%28-16%2B-sqrt%28256+-+24%29%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-16%2B-sqrt%28232%29%29%2F6 ALIGN=MIDDLE  ALT=\"x+=+%28-16%2B-sqrt%28232%29%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The discriminant is positive (+232) so the solution has two real roots.\r<BR>\n" );
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document.write( "The roots are:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-8%2F3%29+%2B+%281%2F3%29sqrt%2858%29 ALIGN=MIDDLE  ALT=\"x+=+%28-8%2F3%29+%2B+%281%2F3%29sqrt%2858%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-8%2F3%29+-+%281%2F3%29sqrt%2858%29 ALIGN=MIDDLE  ALT=\"x+=+%28-8%2F3%29+-+%281%2F3%29sqrt%2858%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );