document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=260820>Question 260820</A>: <I><SPAN STYLE=\"word-break: break-all;\">  I need to factor 25w^2 - 121 completely. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Thanks so much for your help.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #192118 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=192118\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> set 25w^2 - 121 = 0 to find the roots.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "add 121 to both sides of the equation to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "25w^2 = 121\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "divide both sides by 25 to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "w^2 = 121/25\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "take the square root of both sides to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "w = +/- sqrt(121)/sqrt(25)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "sqrt(121) = 11<BR>\n" );
document.write( "sqrt(25) = 5\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "equation becomes:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "w = +/- 11/5\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "graph of this equation looks like this:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C600%2C-5%2C5%2C-150%2C150%2C25%2Ax%5E2-121%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C600%2C-5%2C5%2C-150%2C150%2C25%2Ax%5E2-121%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you can see that y = 0 when x = +/- 11/5 which is equivalent to +/- 2.2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "note:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "to graph the equation, I substituted x for w to satisfy the graphing software requirements.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );