document.write( "Question 24740: how do i Solve by completing the square of x2 - 4x - 5 = 0 \n" ); document.write( "
Algebra.Com's Answer #13202 by rapaljer(4671)\"\" \"About 
You can put this solution on YOUR website!
Begin by adding 5 to each side to get the variables alone on the left side:\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2+-+4x+-+5+=+0\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2+-+4x+-+5+%2B5+=+0%2B+5\"\r
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\n" ); document.write( "\n" ); document.write( "Prepare to add a number to each side of the equation that will make the left side of the equation a perfect square trinomial. I like to add a blank space to each side to set this up. Notice that in the process of completing the square, the coefficient of x^2 MUST BE 1.
\n" ); document.write( "\"x%5E2+-+4x+%2B+_____+=+5+%2B+____\"\r
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\n" ); document.write( "\n" ); document.write( "Now, to make the perfect square trinomial, you need to take HALF of the coefficient of x, which is -4. Half of -4 is -2, and then SQUARE the -2, which is +4. Add PLUS 4 to each side of the equation:\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2+-+4x+%2B+4+=+5+%2B+4\"\r
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\n" ); document.write( "\n" ); document.write( "\"+%28x-2%29%5E2+=+9\"\r
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\n" ); document.write( "\n" ); document.write( "Next, take the square root of each side:
\n" ); document.write( "\"x-2+=+0%2B-sqrt%289%29\"
\n" ); document.write( "\"x-2+=+0%2B-3+\"\r
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\n" ); document.write( "\n" ); document.write( "Finally, add +2 to each side to isolate the x term:
\n" ); document.write( "\"x+=+2+%2B-+3\"\r
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\n" ); document.write( "\n" ); document.write( "This really means:
\n" ); document.write( "x= 2+3 = 5 OR
\n" ); document.write( "x= 2-3 = -1\r
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\n" ); document.write( "\n" ); document.write( "R^2 at SCC\r
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\n" ); document.write( "\n" ); document.write( "P.S. Of course, factoring WOULD have been a LOT easier!!!\r
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