document.write( "Question 696399: x2+4x+2=0 c.s \n" ); document.write( "

Algebra.Com's Answer #429038 by KMST(5328) $\"\"$ $\"About$

You can put this solution on YOUR website!
No one else knew what you wanted or meant, but I read minds.
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\n" ); document.write( " $\"x%5E2%2B4x%2B2=0\"$
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\n" ); document.write( "Completing the Square:
\n" ); document.write( "The square that starts with $\"x%5E2%2B4x\"$ is
\n" ); document.write( " $\"x%5E2%2B4x%2B4=%28x%2B2%29%5E2\"$
\n" ); document.write( "Adding $\"2\"$ to each side of $\"x%5E2%2B4x%2B2=0\"$ we get
\n" ); document.write( " $\"x%5E2%2B4x%2B4=2\"$ , which we can re-write as
\n" ); document.write( " $\"%28x%2B2%29%5E2=2\"$ , which means that
\n" ); document.write( "either $\"x%2B2=sqrt%282%29\"$ ,
\n" ); document.write( "or $\"x%2B2=-sqrt%282%29\"$ .
\n" ); document.write( " $\"x%2B2=sqrt%282%29\"$ means $\"x=-2%2Bsqrt%282%29\"$
\n" ); document.write( " $\"x%2B2=-sqrt%282%29\"$ means $\"x=-2-sqrt%282%29\"$
\n" ); document.write( "Both values of $\"x\"$ are solutions of $\"x%5E2%2B4x%2B2=0\"$ .
\n" ); document.write( "We can write both solutions as
\n" ); document.write( " $\"highlight%28x=-2+%2B-+sqrt%282%29%29\"$ \n" ); document.write( "

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