document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1207452>Question 1207452</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x=sqrt%288-4x%29+ ALIGN=MIDDLE  ALT=\"+2x=sqrt%288-4x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #845324 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=845324\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "As the other tutor mentions, the only solution is x = 1.\r<BR>\n" );
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document.write( "The other value x = -2 is extraneous. \r<BR>\n" );
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document.write( "Here's the graph mentioned.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+2x%2C+sqrt%288-4x%29%29+ ALIGN=MIDDLE  ALT=\"+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+2x%2C+sqrt%288-4x%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Let's reflect the square root curve over the x axis to handle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-sqrt%288-4x%29 ALIGN=MIDDLE  ALT=\"y+=+-sqrt%288-4x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+2x%2C+sqrt%288-4x%29%2C-sqrt%288-4x%29%29+ ALIGN=MIDDLE  ALT=\"+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+2x%2C+sqrt%288-4x%29%2C-sqrt%288-4x%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Notice the new intersection point (-2,-4) which is the intersection of y = 2x and y = -sqrt(8-4x)\r<BR>\n" );
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document.write( "So if we were allowed to plot the plus minus of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%288-4x%29 ALIGN=MIDDLE  ALT=\"sqrt%288-4x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > then we'd get two solutions for x.<BR>\n" );
document.write( "However, we only plot the positive version.<BR>\n" );
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