document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=931147>Question 931147</A>: <I><SPAN STYLE=\"word-break: break-all;\"> answer this please. a number is increased by two the square root of this result is less than the square root of half the number is 3. find the number.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #565465 by </B><A HREF=/tutors/aboutme.mpl?userid=ptfile><B>ptfile(81)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptfile><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=ptfile><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=565465\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = The Number\r<BR>\n" );
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document.write( "A number is increased by two the square root of this result is less than the square root of half the number is 3.<BR>\n" );
document.write( " &#8730;(x+2)-&#8730;(x/2)=3<BR>\n" );
document.write( "        &#8730;(x+2)=&#8730;(x/2)+3<BR>\n" );
document.write( "    (&#8730;(x+2))^2=((&#8730;(x/2)+3)^2<BR>\n" );
document.write( "           x+2=x/2+6&#8730;(x/2)+9<BR>\n" );
document.write( "            0 =-x-2+x/2+6&#8730;(x/2)+9<BR>\n" );
document.write( "            0 =-x/2+6&#8730;(x/2)+7<BR>\n" );
document.write( "            0 =-x/2+(6&#8730;(x/2))(&#8730;(2/2))+7<BR>\n" );
document.write( "            0 =-x/2+6&#8730;2x/2+7<BR>\n" );
document.write( "            0 =-x/2+6&#8730;2x/2+14/2<BR>\n" );
document.write( "            0 =-x+6&#8730;2x+14<BR>\n" );
document.write( "         x-14 = 6&#8730;2x<BR>\n" );
document.write( "      (x-14)^2= (6&#8730;2x)^2<BR>\n" );
document.write( "   x^2-28x+196= 72x<BR>\n" );
document.write( "x^2-28x+196-72x=0<BR>\n" );
document.write( "   x^2-100x+196=0<BR>\n" );
document.write( "Use Quadratic formula to solve for x<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-%28-100%29+%2B-+sqrt%28+%28-100%29%5E2-4%2A%281%29%2A%28-196%29+%29%29%2F%282%2A%281%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28100+%2B-+sqrt%2810000-784%29%29%2F%282%29+ ALIGN=MIDDLE  ALT=\"x=%28100+%2B-+sqrt%2810000-784%29%29%2F%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28100+%2B-+sqrt%289216%29%29%2F%282%29 ALIGN=MIDDLE  ALT=\"x=%28100+%2B-+sqrt%289216%29%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >      <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28100+%2B-+%2896%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=%28100+%2B-+%2896%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "x=98<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x=2\r<BR>\n" );
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document.write( "Substitute x for 98<BR>\n" );
document.write( " &#8730;(98+2)-&#8730;(98/2)=3<BR>\n" );
document.write( "        &#8730;100-&#8730;49=3<BR>\n" );
document.write( "            10-7=3<BR>\n" );
document.write( "               3=3\r<BR>\n" );
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document.write( "Substitute x for 2<BR>\n" );
document.write( "&#8730;(2+2)-&#8730;(2/2)=3<BR>\n" );
document.write( "    &#8730;(4)-&#8730;(1)=3<BR>\n" );
document.write( "          2-1=3<BR>\n" );
document.write( "            1=3\r<BR>\n" );
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document.write( "The number is 98. </SPAN>\n" );
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