document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=226867>Question 226867</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi i need help solving these equations: the square root of (2r squared - 121)= r\r<BR>\n" );
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document.write( "and : 4+ square root of (m-2)=m </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #168792 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=168792\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282r%5E2+-+121%29 ALIGN=MIDDLE  ALT=\"sqrt%282r%5E2+-+121%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = r<BR>\n" );
document.write( "Square both sides and you have<BR>\n" );
document.write( "2r^2 - 121 = r^2<BR>\n" );
document.write( "2r^2 - r^2 = + 121<BR>\n" );
document.write( "r^2 = 121<BR>\n" );
document.write( "r = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28121%29 ALIGN=MIDDLE  ALT=\"sqrt%28121%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "r = +11 is the valid solution<BR>\n" );
document.write( ";<BR>\n" );
document.write( ";<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4+%2B+sqrt%28m-2%29 ALIGN=MIDDLE  ALT=\"4+%2B+sqrt%28m-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = m<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28m-2%29 ALIGN=MIDDLE  ALT=\"sqrt%28m-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = m - 4<BR>\n" );
document.write( "Square both sides<BR>\n" );
document.write( " m - 2 = (m-4)^2<BR>\n" );
document.write( "m - 2 = m^2 - 8m + 16<BR>\n" );
document.write( "0 = m^2 - 8m - m + 16 + 2<BR>\n" );
document.write( "A quadratic equation<BR>\n" );
document.write( "m^2 - 9m + 18<BR>\n" );
document.write( "Factors to<BR>\n" );
document.write( "(m-6)(m-3) = 0<BR>\n" );
document.write( "m = 6<BR>\n" );
document.write( "and <BR>\n" );
document.write( "m = 3<BR>\n" );
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document.write( "You check both solutions in original equation, only one is valid </SPAN>\n" );
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