document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=417839>Question 417839</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I solve this by using the square root property? 4x^2 - 28x + 49 = 5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #292612 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=292612\">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=4x%5E2-28x%2B49=5 ALIGN=MIDDLE  ALT=\"4x%5E2-28x%2B49=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solving equations this way involves the following steps:<ol><li>Gather the variable terms on one side of the equation.</li><li>Make a perfect square out the side of the equation with the variables.</li><li>Find the square root of each side of the equation. This results in two equations! One for the positive square root and one for the negative square root.)</li><li>Solve the remaining equations.</li></ol>Let's see how this works:<BR>\n" );
document.write( "1) Gather...<BR>\n" );
document.write( "The variable terms are already just on the left side of the equation.<BR>\n" );
document.write( "2) Make a perfect square...<BR>\n" );
document.write( "The left side, where the variable terms are, is already a perfect square! It fits the pattern for<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2-2ab%2Bb%5E2+=+%28a-b%29%5E2 ALIGN=MIDDLE  ALT=\"a%5E2-2ab%2Bb%5E2+=+%28a-b%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "with the \"a\" being 2x and the \"b\" being 7. So we can rewrite the left side as a perfect square:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x-7%29%5E2+=+5 ALIGN=MIDDLE  ALT=\"%282x-7%29%5E2+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "3) Find the square root of each side.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%282x-7%29%5E2%29+=+sqrt%285%29 ALIGN=MIDDLE  ALT=\"sqrt%28%282x-7%29%5E2%29+=+sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which simplifies to:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%282x-7%29+=+sqrt%285%29 ALIGN=MIDDLE  ALT=\"abs%282x-7%29+=+sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which becomes:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-7+=+sqrt%285%29 ALIGN=MIDDLE  ALT=\"2x-7+=+sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-7+=+-sqrt%285%29 ALIGN=MIDDLE  ALT=\"2x-7+=+-sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "4) Solve the equations.<BR>\n" );
document.write( "Adding 7 to each side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+=+7+%2B+sqrt%285%29 ALIGN=MIDDLE  ALT=\"2x+=+7+%2B+sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+=+7+-+sqrt%285%29 ALIGN=MIDDLE  ALT=\"2x+=+7+-+sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Dividing by 2:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%287+%2B+sqrt%285%29%29%2F2 ALIGN=MIDDLE  ALT=\"x+=+%287+%2B+sqrt%285%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%287+-+sqrt%285%29%29%2F2 ALIGN=MIDDLE  ALT=\"x+=+%287+-+sqrt%285%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );