document.write( "Question 15483: Please solve following quadratic equations using method completing the square:
\n" ); document.write( "x^2 + x = -1 \n" ); document.write( "

Algebra.Com's Answer #7703 by Earlsdon(6294) $\"\"$ $\"About$

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Solve by completing the square:\r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2+%2B+x+=+-1\"$ Complete the square in the x-terms by adding the square of half the coefficient of the x-term to both sides. This means adding $\"%281%2F2%29%5E2+=+1%2F4\"$ to both sides.\r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2+%2B+x+%2B+1%2F4+=+-1+%2B+1%2F4\"$ Factor the left side.
\n" ); document.write( " $\"%28x+%2B+1%2F2%29%5E2+=+-3%2F4\"$ Take the square root of both sides.
\n" ); document.write( " $\"x+%2B+1%2F2+=+sqrt%28-3%2F4%29\"$ Subtract $\"1%2F2\"$ from both sides.
\n" ); document.write( " $\"x+=+sqrt%28-3%2F4%29+-+1%2F2\"$ Simplify.
\n" ); document.write( " $\"x+=+%281%2F2%29sqrt%28-3%29+-+1%2F2\"$
\n" ); document.write( " $\"x+=+%28-1+-+sqrt%283%29i%29%2F2\"$ and/or $\"x+=+%28-1+%2B+sqrt%283%29i%29%2F2\"$ \n" ); document.write( "

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