document.write( "Question 541523: find all solutions by factoring: 4t^6-t^4=0 \n" ); document.write( "

Algebra.Com's Answer #354200 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Find all solutions: (You should expect to get 6 solutions, some of which might be identical)
\n" ); document.write( " $\"4t%5E6-t%5E4+=+0\"$ Factor out $\"t%5E4\"$
\n" ); document.write( " $\"t%5E4%28t%5E2-1%29+=+0\"$ Apply the \"zero product rule\".
\n" ); document.write( " $\"t%5E4+=+0\"$ or $\"t%5E2-1+=+0\"$
\n" ); document.write( "If $\"t%5E4+=+0\"$ then $\"t%2At%2At%2At+=+0\"$ and $\"t+=+0\"$ is a solution four times.
\n" ); document.write( " $\"4t%5E2-1+=+0\"$ Factor this.
\n" ); document.write( " $\"%282t%2B1%29%282t-1%29+=+0\"$ Apply the \"zero product rule\"'
\n" ); document.write( " $\"2t%2B1+=+0\"$ or $\"2t-1+=+0\"$ so...
\n" ); document.write( " $\"2t+=+-1\"$ and $\"t+=+-1%2F2\"$
\n" ); document.write( " $\"2t+=+1\"$ and $\"t+=+1%2F2\"$
\n" ); document.write( "The six solutions (four of which are identical) are:
\n" ); document.write( " $\"t+=+0\"$
\n" ); document.write( " $\"t+=+0\"$
\n" ); document.write( " $\"t+=+0\"$
\n" ); document.write( " $\"t+=+0\"$
\n" ); document.write( " $\"t+=+-1%2F2\"$
\n" ); document.write( " $\"t+=+1%2F2\"$
\n" ); document.write( "To give some idea of the graphical soltions:
\n" ); document.write( " $\"graph%28400%2C400%2C-3%2C3%2C-5%2C5%2C4x%5E6-x%5E4%29\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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