document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=637713>Question 637713</A>: <I><SPAN STYLE=\"word-break: break-all;\">  What is the best way to solve this equation in step by step ?\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%2Fx%29+-+sqrt+%28x%2F2%29+=+1%2Fsqrt+%282%29+ ALIGN=MIDDLE  ALT=\"sqrt%282%2Fx%29+-+sqrt+%28x%2F2%29+=+1%2Fsqrt+%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I'm profoundly grateful for help.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #401825 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=401825\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( " What is the best way to solve this equation in step by step ?\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%2Fx%29+-+sqrt+%28x%2F2%29+=+1%2Fsqrt+%282%29+ ALIGN=MIDDLE  ALT=\"sqrt%282%2Fx%29+-+sqrt+%28x%2F2%29+=+1%2Fsqrt+%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I'm profoundly grateful for help.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%2Fx%29+-+sqrt+%28x%2F2%29+=+1%2Fsqrt+%282%29+ ALIGN=MIDDLE  ALT=\"sqrt%282%2Fx%29+-+sqrt+%28x%2F2%29+=+1%2Fsqrt+%282%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=sqrt%282%29%2Fsqrt%28x%29+-+sqrt%28x%29%2Fsqrt%282%29+=+1%2Fsqrt+%282%29+ ALIGN=MIDDLE  ALT=\"sqrt%282%29%2Fsqrt%28x%29+-+sqrt%28x%29%2Fsqrt%282%29+=+1%2Fsqrt+%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---- Separate the radicals \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%282%29%2Asqrt%282%29%29+-+%28sqrt%28x%29%2Asqrt%28x%29%29+=+sqrt%28x%29 ALIGN=MIDDLE  ALT=\"%28sqrt%282%29%2Asqrt%282%29%29+-+%28sqrt%28x%29%2Asqrt%28x%29%29+=+sqrt%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ----- Multiplying equation by LCD, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%29%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%29%2Asqrt%282%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=sqrt%282%5E2%29+-+sqrt%28x%5E2%29+=+sqrt%28x%29 ALIGN=MIDDLE  ALT=\"sqrt%282%5E2%29+-+sqrt%28x%5E2%29+=+sqrt%28x%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=2+-+x+=+sqrt%28x%29 ALIGN=MIDDLE  ALT=\"2+-+x+=+sqrt%28x%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=%282+-+x%29%5E2+=+%28sqrt%28x%29%29%5E2 ALIGN=MIDDLE  ALT=\"%282+-+x%29%5E2+=+%28sqrt%28x%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ----- Squaring both sides of equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4+-+4x+%2B+x%5E2+=+x ALIGN=MIDDLE  ALT=\"4+-+4x+%2B+x%5E2+=+x\"   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+-+4x+-+x+%2B+4+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+-+4x+-+x+%2B+4+=+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=x%5E2+-+5x+%2B+4+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+-+5x+%2B+4+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(x - 4)(x  - 1) = 0\r<BR>\n" );
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document.write( "x = 4 or x = 1\r<BR>\n" );
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document.write( "Substituting 4 for x in original equation results in x = 4 being an EXTRANEOUS solution. On the other hand, substituting 1 for x makes the original equation true, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28x=1%29 ALIGN=MIDDLE  ALT=\"highlight_green%28x=1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "You can do the checks by plugging in 4 for x, and then 1 for x in original equation.\r<BR>\n" );
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document.write( "Send comments and “thank-yous” to “D” at MathMadEzy@aol.com </SPAN>\n" );
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