document.write( "Question 682947: How to factor x^2-2x=2 by completing the square? \n" ); document.write( "

Algebra.Com's Answer #423413 by DrBeeee(684) $\"\"$ $\"About$

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Given:
\n" ); document.write( "(1) x^2 -2x = 2
\n" ); document.write( "Completing the square on the left side of (1) allows us to rewrite (1) as
\n" ); document.write( "(2) (x-1)^2 -1 = 2 or
\n" ); document.write( "(3) (x-1)^2 = 3
\n" ); document.write( "Taking the square root of each side of (3) yields
\n" ); document.write( "(4) x-1 = +/- $\"sqrt%283%29\"$ or the roots of (1) are
\n" ); document.write( "(5) x = (1 + $\"sqrt%283%29\"$ , 1 - $\"sqrt%283%29\"$ ) which gives the factors of (1) as
\n" ); document.write( "(6) x^2 -2x -2 = (x-1+ $\"sqrt%283%29\"$ )(x-1- $\"sqrt%283%29\"$ ) \n" ); document.write( "

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