document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=85463>Question 85463</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, I've been trying to solve this equation but it seems I can only get down to simplifying it. Please help =)\r<BR>\n" );
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document.write( "SOLVE THE EQUATION SYMBOLICALLY\r<BR>\n" );
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document.write( "sqrt(x+6) + sqrt(2-x) = 4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #61685 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=61685\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%2B6%29+%2B+sqrt%282-x%29+=+4 ALIGN=MIDDLE  ALT=\"sqrt%28x%2B6%29+%2B+sqrt%282-x%29+=+4\"   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=sqrt%28x%2B6%29=4+-+sqrt%282-x%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%2B6%29=4+-+sqrt%282-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282-x%29 ALIGN=MIDDLE  ALT=\"sqrt%282-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > 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%2B6=%284+-+sqrt%282-x%29%29%5E2 ALIGN=MIDDLE  ALT=\"x%2B6=%284+-+sqrt%282-x%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Square both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B6=16+-+8sqrt%282-x%29%2B2-x ALIGN=MIDDLE  ALT=\"x%2B6=16+-+8sqrt%282-x%29%2B2-x\"   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=x%2B6-16-2%2Bx=+-+8sqrt%282-x%29 ALIGN=MIDDLE  ALT=\"x%2B6-16-2%2Bx=+-+8sqrt%282-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >Get everything but the term <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-+8sqrt%282-x%29 ALIGN=MIDDLE  ALT=\"-+8sqrt%282-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > 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=2x-12=+-+8sqrt%282-x%29 ALIGN=MIDDLE  ALT=\"2x-12=+-+8sqrt%282-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the left side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x-12%29%5E2=+64%2A%282-x%29 ALIGN=MIDDLE  ALT=\"%282x-12%29%5E2=+64%2A%282-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2-48x%2B144=+64%2A%282-x%29 ALIGN=MIDDLE  ALT=\"4x%5E2-48x%2B144=+64%2A%282-x%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=4x%5E2-48x%2B144=+128-64x ALIGN=MIDDLE  ALT=\"4x%5E2-48x%2B144=+128-64x\"   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=4x%5E2%2B16x%2B16=+0 ALIGN=MIDDLE  ALT=\"4x%5E2%2B16x%2B16=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Get everything to one side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28x%5E2%2B4x%2B4%29=+0 ALIGN=MIDDLE  ALT=\"4%28x%5E2%2B4x%2B4%29=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out a 4\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28x%2B2%29%28x%2B2%29=+0 ALIGN=MIDDLE  ALT=\"4%28x%2B2%29%28x%2B2%29=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the expression in the parenthesis\r<BR>\n" );
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document.write( "So we have an answer of\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-2 ALIGN=MIDDLE  ALT=\"x=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Check:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28-2%2B6%29+%2B+sqrt%282--2%29+=+4 ALIGN=MIDDLE  ALT=\"sqrt%28-2%2B6%29+%2B+sqrt%282--2%29+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-2 ALIGN=MIDDLE  ALT=\"x=-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=sqrt%284%29+%2B+sqrt%284%29+=+4 ALIGN=MIDDLE  ALT=\"sqrt%284%29+%2B+sqrt%284%29+=+4\"   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=2%2B2+=+4 ALIGN=MIDDLE  ALT=\"2%2B2+=+4\"   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=4=4 ALIGN=MIDDLE  ALT=\"4=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > solution works<BR>\n" );
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