document.write( "Question 601411: Solve the equation by completing the square: x^2 + 8x = 14\r
\n" ); document.write( "\n" ); document.write( "can someone help me please with this problem? i am having a really hard time trying to figure this out. \n" ); document.write( "

Algebra.Com's Answer #379737 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
To complete the square, take 1/2 of the
\n" ); document.write( "coefficient of the $\"+x+\"$ term, square it,
\n" ); document.write( "and add it to both sides.
\n" ); document.write( " $\"+x%5E2+%2B+8x+=+14+\"$
\n" ); document.write( " $\"+x%5E2+%2B+8x+%2B+%288%2F2%29%5E2+=+14+%2B+%288%2F2%29%5E2+\"$
\n" ); document.write( " $\"+x%5E2+%2B+8x+%2B+16+=+14+%2B+16+\"$
\n" ); document.write( " $\"+%28+x+%2B+4+%29%5E2+=+30+\"$
\n" ); document.write( "Take the square root of both sides
\n" ); document.write( " $\"+x+%2B+4+=+sqrt%2830%29+\"$
\n" ); document.write( " $\"+x+=+-4+%2B+sqrt%2830%29+\"$
\n" ); document.write( "and also, taking the negative square root,
\n" ); document.write( " $\"+x+=+-4+-+sqrt%2830%29+\"$
\n" ); document.write( "------------------
\n" ); document.write( "check the answers:
\n" ); document.write( " $\"+%28+-4+-+sqrt%2830%29+%29%5E2+%2B+8%2A%28++-4+-++sqrt%2830%29%29+=+14+\"$
\n" ); document.write( " $\"+16+%2B+8%2Asqrt%2830%29+%2B+30+-+32+-+8%2Asqrt%2830%29+=+14+\"$
\n" ); document.write( " $\"+16+%2B+30+-+32+=+14+\"$
\n" ); document.write( " $\"+14+=+14+\"$
\n" ); document.write( "OK- you can check the other answer \n" ); document.write( "

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