document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=236327>Question 236327</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the quadratic equation by using the square root property. <BR>\n" );
document.write( "4(a-5)^2=1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #173982 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=173982\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4*(a-5)^2 = 1\r<BR>\n" );
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document.write( "divide both sides by 4 to get:\r<BR>\n" );
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document.write( "(a-5)^2 = 1/4\r<BR>\n" );
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document.write( "take square root of both sides to get\r<BR>\n" );
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document.write( "a-5 = +/- sqrt(1/4)\r<BR>\n" );
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document.write( "add 5 to both sides to get:\r<BR>\n" );
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document.write( "a = 5 +/- sqrt(1/4)\r<BR>\n" );
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document.write( "since sqrt(1/4) = (1/2), equation becomes:\r<BR>\n" );
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document.write( "a = 5 +/- (1/2)\r<BR>\n" );
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document.write( "this means:\r<BR>\n" );
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document.write( "a = 5.5<BR>\n" );
document.write( "or:<BR>\n" );
document.write( "a = 4.5\r<BR>\n" );
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document.write( "substitute in original equation to confirm this is good.\r<BR>\n" );
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document.write( "4*(a-5)^2 = 1\r<BR>\n" );
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document.write( "if a = 4.5, this becomes 4*(-.5)^2 = 1 which becomes 4*(.25) = 1 which becomes 1 = 1 which is good.\r<BR>\n" );
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document.write( "if a = 5.5, this becomes 4*(.5)^2 = 1 which becomes 4*(.25) = 1 which becomes 1 = 1 which is also good.\r<BR>\n" );
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document.write( "answer is confirmed.\r<BR>\n" );
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document.write( "answer is:\r<BR>\n" );
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document.write( "x = 4.5<BR>\n" );
document.write( "or:<BR>\n" );
document.write( "x = 5.5\r<BR>\n" );
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document.write( " </SPAN>\n" );
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