document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=985456>Question 985456</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone show me how this is solved algebraically?\r<BR>\n" );
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document.write( "\"If you take half of my earnings, and then subtract the square root of my earnings, the result is 24.\"\r<BR>\n" );
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document.write( "Step 1. Set up equation: x/2 - the square root of x = 24\r<BR>\n" );
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document.write( "But with the fraction and the square root, I'm not sure how to do the math correctly. I know I need to remove the fraction and then square the equation to get rid of the radical. \r<BR>\n" );
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document.write( "I can get the answer by plugging from the answer choices, but how do I get it algebraically?\r<BR>\n" );
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document.write( "Thank you.\r<BR>\n" );
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document.write( "Helen\r<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 #606251 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=606251\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x, your earnings.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F2 ALIGN=MIDDLE  ALT=\"x%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, half of your earnings\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, square root of your earnings\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F2-sqrt%28x%29 ALIGN=MIDDLE  ALT=\"x%2F2-sqrt%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, take half of your earnings and subtract the square root of your earnings\r<BR>\n" );
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document.write( "\".... is 24.\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x%2F2-sqrt%28x%29=24%29 ALIGN=MIDDLE  ALT=\"highlight%28x%2F2-sqrt%28x%29=24%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solve.\r<BR>\n" );
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document.write( "Best if you first isolate the irrational expression on one side of the equation first.<BR>\n" );
document.write( "<b>TRY.  Do the work.</b><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-100x%2B2304=0 ALIGN=MIDDLE  ALT=\"x%5E2-100x%2B2304=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Either x=36  or  x=64.<BR>\n" );
document.write( "One of these will work and the other will fail.\r<BR>\n" );
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document.write( "Another tutor fully solved this for you. </SPAN>\n" );
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