document.write( "Question 58198This question is from textbook Elementary and Intermediate Algebra
\n" ); document.write( ": Solve by completing the square\r
\n" ); document.write( "\n" ); document.write( "x^2 + 2 = 2x\r
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Algebra.Com's Answer #39798 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Solve by completing the square:
\n" ); document.write( " $\"x%5E2+%2B+2+=+2x\"$ Subtact 2x from both sides.
\n" ); document.write( " $\"x%5E2+-+2x+%2B+2+=+0\"$ Subtract 2 from both sides.
\n" ); document.write( " $\"x%5E2+-+2x+=+-2\"$ Add the square of half the x-coefficient ((-2/2)^2 = 1) to both sides.
\n" ); document.write( " $\"x%5E2+-+2x+%2B+1+=+-1\"$ Factor the left side.
\n" ); document.write( " $\"%28x-1%29%5E2+=+-1\"$ Take the square root of both sides.
\n" ); document.write( " $\"x-1+\"$ = +/- $\"sqrt%28-1%29\"$ Add 1 to both sides.
\n" ); document.write( " $\"x+=+1%2Bsqrt%28-1%29\"$ and $\"x+=+1-sqrt%28-1%29\"$ which you can write as:
\n" ); document.write( " $\"x+=+1%2Bi\"$ and $\"x+=+1-i\"$ Where: $\"i+=+sqrt%28-1%29\"$ \n" ); document.write( "

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