SOLUTION: please help its for a project at school, i need to find the solution set including complex solutions, if any, of this rational equation {{{ (x^5-62x^3-175439x)/(x^2-451)=0 }}}

Algebra.Com
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

Found 2 solutions by josmiceli, Alan3354:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!

Every term in the numerator has an in it,
so factor out an

On my calculator I did
so, I guessed that the numerator could be factored as:

This worked out exactly right, so cancelling, I get:

The solutions are:

and




and
(the negative square root)
You can check by plugging this back into original equation

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Hint: Check to see if 451 is a factor of 175439.
If it is, see if you can factor the numerator.