document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=163137>Question 163137</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, this is the problem I was told to do:\r<BR>\n" );
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document.write( "[SQRT(2x + 2)] - [SQRT(x - 3)] = 2<BR>\n" );
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document.write( "&#8730;(2x+2) - &#8730;(x-3) = 2\r<BR>\n" );
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document.write( "I've been told to FOIL this problem, but I don't understand how to FOIL it if its subtracting and not multiplying. What I do know is that the answer is equal to 7.<BR>\n" );
document.write( "Thanks in advance. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #120219 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=120219\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=sqrt%282x%2B2%29 ALIGN=MIDDLE  ALT=\"A=sqrt%282x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=sqrt%28x-3%29 ALIGN=MIDDLE  ALT=\"B=sqrt%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282x%2B2%29-+sqrt%28x-3%29=2 ALIGN=MIDDLE  ALT=\"sqrt%282x%2B2%29-+sqrt%28x-3%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > then becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A-B=2 ALIGN=MIDDLE  ALT=\"A-B=2\"   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=A-B=2 ALIGN=MIDDLE  ALT=\"A-B=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=2%2BB ALIGN=MIDDLE  ALT=\"A=2%2BB\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add \"B\" to both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5E2=%282%2BB%29%5E2 ALIGN=MIDDLE  ALT=\"A%5E2=%282%2BB%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square both sides. Remember, squaring undoes the square root (which is in both A and B)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5E2=4%2B4B%2BB%5E2 ALIGN=MIDDLE  ALT=\"A%5E2=4%2B4B%2BB%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOIL the right side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%282x%2B2%29%29%5E2=4%2B4%2Asqrt%28x-3%29%2B%28sqrt%28x-3%29%29%5E2 ALIGN=MIDDLE  ALT=\"%28sqrt%282x%2B2%29%29%5E2=4%2B4%2Asqrt%28x-3%29%2B%28sqrt%28x-3%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=sqrt%282x%2B2%29 ALIGN=MIDDLE  ALT=\"A=sqrt%282x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=sqrt%28x-3%29 ALIGN=MIDDLE  ALT=\"B=sqrt%28x-3%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=2x%2B2=4%2B4%2Asqrt%28x-3%29%2Bx-3 ALIGN=MIDDLE  ALT=\"2x%2B2=4%2B4%2Asqrt%28x-3%29%2Bx-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282x%2B2%29 ALIGN=MIDDLE  ALT=\"sqrt%282x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B2 ALIGN=MIDDLE  ALT=\"2x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Square <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x-3%29 ALIGN=MIDDLE  ALT=\"sqrt%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-3 ALIGN=MIDDLE  ALT=\"x-3\"   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=2x%2B2=1%2Bx%2B4%2Asqrt%28x-3%29 ALIGN=MIDDLE  ALT=\"2x%2B2=1%2Bx%2B4%2Asqrt%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B2-1-x=4%2Asqrt%28x-3%29 ALIGN=MIDDLE  ALT=\"2x%2B2-1-x=4%2Asqrt%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 1 from both sides. Subtract x from both sides. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B1=4%2Asqrt%28x-3%29 ALIGN=MIDDLE  ALT=\"x%2B1=4%2Asqrt%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B1%29%5E2=16%28x-3%29 ALIGN=MIDDLE  ALT=\"%28x%2B1%29%5E2=16%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square both sides. This will eliminate the square root.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B2x%2B1=16%28x-3%29 ALIGN=MIDDLE  ALT=\"x%5E2%2B2x%2B1=16%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOIL the left side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B2x%2B1=16x-48 ALIGN=MIDDLE  ALT=\"x%5E2%2B2x%2B1=16x-48\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B2x%2B1-+16x%2B48=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B2x%2B1-+16x%2B48=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Get all terms to the left side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-14x%2B49=0 ALIGN=MIDDLE  ALT=\"x%5E2-14x%2B49=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-7%29%5E2=0 ALIGN=MIDDLE  ALT=\"%28x-7%29%5E2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the left side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-7=0 ALIGN=MIDDLE  ALT=\"x-7=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of both sides (to get rid of the square)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=7 ALIGN=MIDDLE  ALT=\"x=7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 7 to both sides.\r<BR>\n" );
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document.write( "So the solution is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=7 ALIGN=MIDDLE  ALT=\"x=7\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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