document.write( "Question 102737: Could someone please show me how to solve its expression???
\n" ); document.write( "Solve by completing the square. $\"x%5E2=5x=2\"$ \n" ); document.write( "

Algebra.Com's Answer #74721 by Earlsdon(6294) $\"\"$ $\"About$

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Solve this equation (this is not an expression!) by completing the square:
\n" ); document.write( " $\"x%5E2%2B5x+=+2\"$ Add the square of half the x-coefficient to both sides. This would be $\"%285%2F2%29%5E2+=+25%2F4\"$
\n" ); document.write( " $\"x%5E2%2B5x%2Bhighlight%2825%2F4%29+=+2%2Bhighlight%2825%2F4%29\"$ Simplify.
\n" ); document.write( " $\"x%5E2%2B5x%2B25%2F4+=+%288%2B25%29%2F4\"$
\n" ); document.write( " $\"x%5E2%2B5x%2B25%2F4+=+33%2F4\"$ Now factor the left side.
\n" ); document.write( " $\"%28x%2B5%2F2%29%28x%2B5%2F2%29+=+33%2F4\"$ Rewrite this as:
\n" ); document.write( "Ooops! I clicked the wrong button before finishing.
\n" ); document.write( " $\"%28x%2B5%2F2%29%5E2+=+33%2F4\"$ Now take the square root of both sides.
\n" ); document.write( " $\"sqrt%28%28x%2B5%2F2%29%5E2%29+=+sqrt%2833%2F4%29\"$ Simplify.
\n" ); document.write( " $\"x%2B5%2F2+=+sqrt%2833%29%2F2\"$ or $\"x%2B5%2F2+=+-sqrt%2833%29%2F2\"$ Finally, subtract $\"5%2F2\"$ from both sides of each solution.
\n" ); document.write( " $\"x+=+sqrt%2833%2F2%29-5%2F2\"$ or $\"x+=+-sqrt%2833%29%2F2-5%2F2\"$ The can be written:
\n" ); document.write( " $\"x+=+-%28%285-sqrt%2833%29%29%2F2%29\"$ or $\"x+=+-%28%285%2Bsqrt%2833%29%29%2F2%29\"$
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