document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=248126>Question 248126</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i need a little help to make sure i am doing this right.\r<BR>\n" );
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document.write( "Solve: 2x-5=(the square root of) x+20\r<BR>\n" );
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document.write( "this is what i have:<BR>\n" );
document.write( "(2x-5)^2=x+20<BR>\n" );
document.write( "4x^2-10x-10x+25=x+20<BR>\n" );
document.write( "4x^2-20x+25=x+20<BR>\n" );
document.write( "4x^2-21x+5=0<BR>\n" );
document.write( "(4x-1)(x-5)=0<BR>\n" );
document.write( "4x-1=0 or x-5=0<BR>\n" );
document.write( "x=1/4 or x=5\r<BR>\n" );
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document.write( "but the question on my review has multiple choice answers of: <BR>\n" );
document.write( "a) 1/4 b)16 c) 29 or d) 5\r<BR>\n" );
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document.write( "which is the right answer or am i correct in thinking that there are 2 possible answers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #180854 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=180854\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The solutions <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1%2F4 ALIGN=MIDDLE  ALT=\"x=1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5 ALIGN=MIDDLE  ALT=\"x=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > satisfy the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2-21x%2B5=0 ALIGN=MIDDLE  ALT=\"4x%5E2-21x%2B5=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >. However, we're not guaranteed that they satisfy the original equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-5=sqrt%28x%2B20%29 ALIGN=MIDDLE  ALT=\"2x-5=sqrt%28x%2B20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (as extraneous roots may have been introduced).\r<BR>\n" );
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document.write( "To see if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1%2F4 ALIGN=MIDDLE  ALT=\"x=1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a solution to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-5=sqrt%28x%2B20%29 ALIGN=MIDDLE  ALT=\"2x-5=sqrt%28x%2B20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, simply plug it in to get: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%281%2F4%29-5=sqrt%281%2F4%2B20%29 ALIGN=MIDDLE  ALT=\"2%281%2F4%29-5=sqrt%281%2F4%2B20%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=-9%2F2=sqrt%2881%2F4%29 ALIGN=MIDDLE  ALT=\"-9%2F2=sqrt%2881%2F4%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=-9%2F2=9%2F2 ALIGN=MIDDLE  ALT=\"-9%2F2=9%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is NOT true\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1%2F4 ALIGN=MIDDLE  ALT=\"x=1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > is NOT a solution of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-5=sqrt%28x%2B20%29 ALIGN=MIDDLE  ALT=\"2x-5=sqrt%28x%2B20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Similarly, plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5 ALIGN=MIDDLE  ALT=\"x=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-5=sqrt%28x%2B20%29 ALIGN=MIDDLE  ALT=\"2x-5=sqrt%28x%2B20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%285%29-5=sqrt%285%2B20%29 ALIGN=MIDDLE  ALT=\"2%285%29-5=sqrt%285%2B20%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=5=sqrt%2825%29 ALIGN=MIDDLE  ALT=\"5=sqrt%2825%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=5=5 ALIGN=MIDDLE  ALT=\"5=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since the equation is true, this verifies that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5 ALIGN=MIDDLE  ALT=\"x=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a solution.\r<BR>\n" );
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document.write( "So the only solution is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5 ALIGN=MIDDLE  ALT=\"x=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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