document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=628095>Question 628095</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of twice a number and 1 is equal to 3 times the positive square root of the number. Find the number. Write an equation and solve. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #395379 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=395379\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of twice a number and 1 is equal to 3 times the positive square root of the number. Find the number. Write an equation and solve.\r<BR>\n" );
document.write( "\n" );
document.write( "Let the number be x\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B1+=+3sqrt%28x%29 ALIGN=MIDDLE  ALT=\"2x%2B1+=+3sqrt%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "square both sides\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B1%29%5E2+=+%283sqrt%28x%29%29%5E2 ALIGN=MIDDLE  ALT=\"%282x%2B1%29%5E2+=+%283sqrt%28x%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2%2B4x%2B1=+9x ALIGN=MIDDLE  ALT=\"4x%5E2%2B4x%2B1=+9x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2-5x%2B1=0 ALIGN=MIDDLE  ALT=\"4x%5E2-5x%2B1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2-4x-x%2B1=0 ALIGN=MIDDLE  ALT=\"4x%5E2-4x-x%2B1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%28x-1%29%2B1%28x-1%29=0 ALIGN=MIDDLE  ALT=\"4x%28x-1%29%2B1%28x-1%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "(x-1)(4x-1)=0\r<BR>\n" );
document.write( "\n" );
document.write( "either x-1 = 0 or 4x-1 =0\r<BR>\n" );
document.write( "\n" );
document.write( "if x-1 =0<BR>\n" );
document.write( "x= 1<BR>\n" );
document.write( "if 4x-1 =0 then<BR>\n" );
document.write( "4x=1<BR>\n" );
document.write( "x= 1/4\r<BR>\n" );
document.write( "\n" );
document.write( "x= 1OR 1/4\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );