document.write( "Question 454574: $\"x%5E2%2B6x%2B8=0+\"$ \r
\n" ); document.write( "\n" ); document.write( "Can you help me solve this please? and Thank you . \n" ); document.write( "

Algebra.Com's Answer #312121 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+x%5E2+%2B+6x+%2B+8+=+0+\"$
\n" ); document.write( "First subtract $\"+8+\"$ from both sides
\n" ); document.write( " $\"+x%5E2+%2B+6x+=+-8+\"$
\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( " $\"+x%5E2+%2B+6x+%2B+%286%2F2%29%5E2+=+-8+%2B+%286%2F2%29%5E2+\"$
\n" ); document.write( " $\"+x%5E2+%2B+6x+%2B+9+=+-8+%2B+9+\"$
\n" ); document.write( " $\"+x%5E2+%2B+6x+%2B+9+=+1+\"$
\n" ); document.write( "Note that both sides are now perfect squares
\n" ); document.write( "and can be written as:
\n" ); document.write( " $\"+%28+x+%2B+3+%29%5E2+=+1%5E2+\"$
\n" ); document.write( "Take the square root of both sides
\n" ); document.write( " $\"+x+%2B+3+=+1+\"$
\n" ); document.write( " $\"+x+=+-2+\"$ 1st answer
\n" ); document.write( "Note that there is also a negative square root of $\"+1%5E2+\"$
\n" ); document.write( " $\"+x+%2B+3+=+-1+\"$
\n" ); document.write( " $\"+x+=+-4+\"$ 2nd answer
\n" ); document.write( "Now I can check answers by rewriting the answers as:
\n" ); document.write( " $\"+x+%2B+2+=+0+\"$
\n" ); document.write( " $\"+x+%2B+4+=+0+\"$
\n" ); document.write( "These are the factor of the equation, so:
\n" ); document.write( " $\"+%28x+%2B+2%29%2A%28+x+%2B+4+%29+=+0+\"$
\n" ); document.write( " $\"+x%5E2+%2B+6x+%2B+8+=+0+\"$
\n" ); document.write( "OK\r
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