document.write( "Question 525768: x2+16=0 \n" ); document.write( "

Algebra.Com's Answer #348220 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Solve:
\n" ); document.write( "N.B. $\"i+=+sqrt%28-1%29\"$
\n" ); document.write( " $\"x%5E2%2B16+=+0\"$ Factor.
\n" ); document.write( " $\"%28x%2B4i%29%28x-4i%29+=+0\"$ Apply the zero product rule.
\n" ); document.write( " $\"x%2B4i+=+0\"$ or $\"x-4i+=+0\"$ so...
\n" ); document.write( " $\"x+=+-4i\"$ or $\"x+=+4i\"$
\n" ); document.write( "Or you could do it this way...
\n" ); document.write( " $\"x%5E2%2B16+=+0\"$ Subtract 16 from both sides.
\n" ); document.write( " $\"x%5E2+=+-16\"$ Take the square root of both sides.
\n" ); document.write( " $\"x+=+sqrt%28-16%29\"$ or $\"x+=+-sqrt%28-16%29\"$ Simplify.
\n" ); document.write( " $\"x+=+4i\"$ or $\"x+=+-4i\"$ \n" ); document.write( "

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