document.write( "Question 67132: Consider the equation
\n" ); document.write( "4x2 - 9 = 0
\n" ); document.write( "Let's try to solve it as follows:
\n" ); document.write( "4x2 - 9 = 0
\n" ); document.write( "(2x - 3)2 = 0
\n" ); document.write( "2x - 3 = 0
\n" ); document.write( "2x = 3
\n" ); document.write( "x = 3/2\r
\n" ); document.write( "\n" ); document.write( "Is this solution correct and if not why and what is the real solution?
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #47745 by Edwin McCravy(20059) $\"\"$ $\"About$

You can put this solution on YOUR website!

4x² - 9 = 0\r\n" );
document.write( "Let's try to solve it as follows:\r\n" );
document.write( "4x² - 9 = 0\r\n" );
document.write( "(2x - 3)² = 0\r\n" );
document.write( "2x - 3 = 0\r\n" );
document.write( "2x = 3\r\n" );
document.write( "x = 3/2 \r\n" );
document.write( "Is this solution correct and if not why and what is the real solution?\r\n" );
document.write( "\r\n" );
document.write( "No,\r\n" );
document.write( "4x² - 9 does not factor as (2x - 3)²\r\n" );
document.write( "\r\n" );
document.write( "  4x² - 9 = 0           4x² - 9 = 0  write as difference of squares    \r\n" );
document.write( "(2x - 3)² = 0      (2x)² - (3)² = 0  factor difference of squares\r\n" );
document.write( "   2x - 3 = 0  (2x - 3)(2x + 3) = 0  Set each factor = 0 & solve\r\n" );
document.write( "       2x = 3   2x - 3 = 0;       2x + 3 = 0                 \r\n" );
document.write( "        x = 3/2     2x = 3;           2x = -3\r\n" );
document.write( "                     x = 3/2;          x = -3/2\r\n" );
document.write( "\r\n" );
document.write( "Correct solutions:  3/2 and -3/2\r\n" );
document.write( "\r\n" );
document.write( "Edwin

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