document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=45332>Question 45332</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve for a by completing the square:<BR>\n" );
document.write( "a^2-10a+1=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #30075 by </B><A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><B>tutorcecilia(2152)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><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=tutorcecilia><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=30075\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a^2-10a+1-1=0-1 [Subtract 1 from both sides]<BR>\n" );
document.write( "a^2-10a  = -1 [Simplify]<BR>\n" );
document.write( "a^2-10a + (10/2)^2 = -1 [Divide and square the second coefficient] <BR>\n" );
document.write( "a^2-10a + (10/2)^2 = -1 + (10/2)^2  [Add it to both sides of the equation]<BR>\n" );
document.write( "a^2-10a + (5)^2 = -1 + (5)^2  [Simplify]<BR>\n" );
document.write( "a^2-10a + (5)^2 = -1 + 25 [Further simplify the right hand side only]<BR>\n" );
document.write( "a^2-10a + (5)^2 = 24 [Further simplify the right hand side of the equation only]<BR>\n" );
document.write( "(a-5)(a-5) = 24 [Factor the polynomial]<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28sqrt%28a-5%29%29%5E2%29 ALIGN=MIDDLE  ALT=\"%28%28sqrt%28a-5%29%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >={{sqrt(24)}}} [Take the square root of both sides]<BR>\n" );
document.write( "a-5 = +-2<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%286%29 ALIGN=MIDDLE  ALT=\"sqrt%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > [Simplify]<BR>\n" );
document.write( "a-5+5 = +-2<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%286%29 ALIGN=MIDDLE  ALT=\"sqrt%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > +5 [Solve for \"a\"]<BR>\n" );
document.write( "a = +-2<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%286%29 ALIGN=MIDDLE  ALT=\"sqrt%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > +5<BR>\n" );
document.write( "a = 5+-2<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%286%29 ALIGN=MIDDLE  ALT=\"sqrt%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > [The two answers]<BR>\n" );
document.write( "a = 5 + 2<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%286%29 ALIGN=MIDDLE  ALT=\"sqrt%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or 5 - 2<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%286%29 ALIGN=MIDDLE  ALT=\"sqrt%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );