document.write( "Question 579742: $\"+x%5E2%2B3x%2B2=0+\"$ . \n" ); document.write( "

Algebra.Com's Answer #371051 by josmiceli(19441) $\"\"$ $\"About$

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$\"+x%5E2%2B3x%2B2=0+\"$
\n" ); document.write( " $\"+x%5E2+%2B+3x+=+-2+\"$
\n" ); document.write( "Complete the square:
\n" ); document.write( "Take 1/2 of the coefficient of $\"x\"$ ,
\n" ); document.write( "square it, and add it to both sides
\n" ); document.write( " $\"+x%5E2+%2B+3x+%2B+%283%2F2%29%5E2+=+-2+%2B+%283%2F2%29%5E2+\"$
\n" ); document.write( " $\"+x%5E2+%2B+3x+%2B+9%2F4+=+-%288%2F4%29+%2B+9%2F4+\"$
\n" ); document.write( " $\"+%28+x+%2B+3%2F2+%29%5E2+=+%281%2F2%29%5E2+\"$
\n" ); document.write( "Take the square root of both sides
\n" ); document.write( " $\"+x+%2B+3%2F2+=+1%2F2+\"$
\n" ); document.write( " $\"+x+=+-%283%2F2%29+%2B+1%2F2+\"$
\n" ); document.write( "(1) $\"+x+=+-1+\"$ ( one root of the equation )
\n" ); document.write( "and, taking the negative square root,
\n" ); document.write( " $\"+x+%2B+3%2F2+=+-%281%2F2%29+\"$
\n" ); document.write( " $\"+x+=+-%283%2F2%29+-+1%2F2+\"$
\n" ); document.write( "(2) $\"+x+=+-2+\"$ ( the other root of th equation )
\n" ); document.write( "------------------
\n" ); document.write( "Rewriting (1) and (2),
\n" ); document.write( "(1) $\"+x+%2B+1+=+0+\"$
\n" ); document.write( "(2) $\"+x+%2B+2+=+0+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+%28+x+%2B+1+%29%2A%28+x+%2B+2+%29+=+x%5E2+%2B+3x+%2B+2+\"$ \n" ); document.write( "

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