document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=847238>Question 847238</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Square root of xraise2 + 5x + 22 + square root of xraise2-5x+6=6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #510298 by </B><A HREF=/tutors/aboutme.mpl?userid=swincher4391><B>swincher4391(1107)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=swincher4391><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=swincher4391><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=510298\">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%5E2%2B5x%2B22%29+%2B+sqrt%28x%5E2-5x%2B6%29+=+6 ALIGN=MIDDLE  ALT=\"sqrt%28x%5E2%2B5x%2B22%29+%2B+sqrt%28x%5E2-5x%2B6%29+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "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%5E2%2B5x%2B22+%2B+x%5E2-5x%2B6+%2B+2+%2A+sqrt%28%28x%5E2%2B5x%2B22%29%28x%5E2-5x%2B6%29%29+=+36 ALIGN=MIDDLE   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%5E2+%2B28+%2B+2%2Asqrt%28%28x%5E2%2B5x%2B22%29%28x%5E2-5x%2B6%29%29+=+36 ALIGN=MIDDLE  ALT=\"2x%5E2+%2B28+%2B+2%2Asqrt%28%28x%5E2%2B5x%2B22%29%28x%5E2-5x%2B6%29%29+=+36\"   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+%2B14+%2B+sqrt%28%28x%5E2%2B5x%2B22%29%28x%5E2-5x%2B6%29%29+=+18 ALIGN=MIDDLE  ALT=\"x%5E2+%2B14+%2B+sqrt%28%28x%5E2%2B5x%2B22%29%28x%5E2-5x%2B6%29%29+=+18\"   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%28%28x%5E2%2B5x%2B22%29%28x%5E2-5x%2B6%29%29+=+%284-x%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28x%5E2%2B5x%2B22%29%28x%5E2-5x%2B6%29%29+=+%284-x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Square both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2B5x%2B22%29%28x%5E2-5x%2B6%29+=+%284-x%5E2%29%5E2 ALIGN=MIDDLE  ALT=\"%28x%5E2%2B5x%2B22%29%28x%5E2-5x%2B6%29+=+%284-x%5E2%29%5E2\"   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%5E4%2B3x%5E2-80x%2B132+=+x%5E4-8x%5E2%2B16 ALIGN=MIDDLE  ALT=\"x%5E4%2B3x%5E2-80x%2B132+=+x%5E4-8x%5E2%2B16\"   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=3x%5E2-80x+%2B+132+=+-8x%5E2+%2B+16 ALIGN=MIDDLE  ALT=\"3x%5E2-80x+%2B+132+=+-8x%5E2+%2B+16\"   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=11x%5E2+-80x+%2B116+=+0 ALIGN=MIDDLE  ALT=\"11x%5E2+-80x+%2B116+=+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=%2880+%2B-+sqrt%28%28-80%29%5E2+-+4%2A11%2A116%29%29%2F22 ALIGN=MIDDLE  ALT=\"%2880+%2B-+sqrt%28%28-80%29%5E2+-+4%2A11%2A116%29%29%2F22\"   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=2 ALIGN=MIDDLE  ALT=\"+x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+58%2F11 ALIGN=MIDDLE  ALT=\"+x+=+58%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since we are dealing with square roots, it may be a good idea to check our answers to see that we aren't getting extraneous answers.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%5E2%2B5x%2B22%29+%2B+sqrt%28x%5E2-5x%2B6%29+=+6 ALIGN=MIDDLE  ALT=\"sqrt%28x%5E2%2B5x%2B22%29+%2B+sqrt%28x%5E2-5x%2B6%29+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "When we plug in 2 we get sqrt(36) + sqrt(0) = 6\r<BR>\n" );
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document.write( "When we plug in 58/11 we get sqrt(9216/121) + sqrt(900/121) = 11.45.. which is not 6.\r<BR>\n" );
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document.write( "That means the only answer that works is x=2.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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