document.write( "Question 439568: please help its for a project at school, i need to find the solution set including complex solutions, if any, of this rational equation\r
\n" ); document.write( "\n" ); document.write( " $\"+%28x%5E5-62x%5E3-175439x%29%2F%28x%5E2-451%29=0+\"$ \n" ); document.write( "

Algebra.Com's Answer #303774 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+%28x%5E5-62x%5E3-175439x%29%2F%28x%5E2-451%29=0+\"$
\n" ); document.write( "Every term in the numerator has an $\"x\"$ in it,
\n" ); document.write( "so factor out an $\"x\"$
\n" ); document.write( " $\"+%28x%2A%28x%5E4-62x%5E2-175439%29%29%2F%28x%5E2-451%29=0+\"$
\n" ); document.write( "On my calculator I did $\"+175439%2F451+=+389+\"$
\n" ); document.write( "so, I guessed that the numerator could be factored as:
\n" ); document.write( " $\"+%28x%2A%28x%5E2+-+451%29%2A%28x%5E2+%2B+389%29%29%2F%28x%5E2-451%29=0+\"$
\n" ); document.write( "This worked out exactly right, so cancelling, I get:
\n" ); document.write( " $\"+%28x%2A%28x%5E2+%2B+389%29%29=0+\"$
\n" ); document.write( "The solutions are:
\n" ); document.write( " $\"x+=+0\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+x%5E2+%2B+389+=+0+\"$
\n" ); document.write( " $\"+x%5E2+=+-389+\"$
\n" ); document.write( " $\"+x+=+sqrt%28-389%29\"$
\n" ); document.write( " $\"+x+=+19.723i+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+x+=+-19.723i+\"$ (the negative square root)
\n" ); document.write( "You can check by plugging this back into original equation \n" ); document.write( "

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