document.write( "Question 196540: Solve by completing the square:
\n" ); document.write( " x^2 + 8x + 13 = 0 \n" ); document.write( "

Algebra.Com's Answer #147294 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"x%5E2+%2B+8x+%2B+13+=+0\"$
\n" ); document.write( " $\"x%5E2+%2B+8x+=+-13\"$
\n" ); document.write( " $\"x%5E2+%2B+8x+%2B+%288%2F2%29%5E2+=+-13+%2B+%288%2F2%29%5E2\"$
\n" ); document.write( " $\"x%5E2+%2B+8x+%2B+16+=+-13+%2B+16\"$
\n" ); document.write( "The left side is a perfect square
\n" ); document.write( " $\"%28x+%2B+4%29%5E2+=+3\"$
\n" ); document.write( "Take the square root of both sides
\n" ); document.write( " $\"x+%2B+4+=+sqrt%283%29\"$
\n" ); document.write( " $\"x+=+14+%2B+sqrt%283%29\"$
\n" ); document.write( "and
\n" ); document.write( " $\"x+%2B+4+=+-sqrt%283%29\"$
\n" ); document.write( " $\"x+=+-4+-+sqrt%283%29\"$
\n" ); document.write( "I'll check the 2nd result
\n" ); document.write( " $\"x%5E2+%2B+8x+%2B+13+=+0\"$
\n" ); document.write( " $\"%28-4+-+sqrt%283%29%29%5E2+%2B+8%2A%28-4+-sqrt%283%29%29+%2B+13+=+0\"$
\n" ); document.write( " $\"16+%2B+8%2Asqrt%283%29+%2B+3+-+32+-+8%2Asqrt%283%29+%2B+13+=+0\"$
\n" ); document.write( " $\"16+%2B+3+-+32+%2B+13+=+0\"$
\n" ); document.write( " $\"0+=+0\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );