document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=67132>Question 67132</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider the equation<BR>\n" );
document.write( "4x2 - 9 = 0<BR>\n" );
document.write( "Let's try to solve it as follows:<BR>\n" );
document.write( "4x2 - 9 = 0<BR>\n" );
document.write( "(2x - 3)2 = 0<BR>\n" );
document.write( "2x - 3 = 0<BR>\n" );
document.write( "2x = 3<BR>\n" );
document.write( "x = 3/2\r<BR>\n" );
document.write( "\n" );
document.write( "Is this solution correct and if not why and what is the real solution?<BR>\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 #47744 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=47744\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4x^2 - 9 = 0<BR>\n" );
document.write( "This form is called \"difference of squares\".<BR>\n" );
document.write( "This is the way it factors: <BR>\n" );
document.write( "a^2-b^2=(a-b)(a+b)<BR>\n" );
document.write( "In your problem a=2x and b=3<BR>\n" );
document.write( "So you factor the left side to get:<BR>\n" );
document.write( "(2x-3)(2x+3)=0<BR>\n" );
document.write( "Since the product is zero one of the factors must be zero.<BR>\n" );
document.write( "So: 2x-3=0 or 2x+3=0<BR>\n" );
document.write( "Then x=3/2 or x=-3/2<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "That is the standard way to proceed with your problem.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );