Simplify the rational expression. State any restrictions on the variable.

https://i.imgur.com/W8Vh9v0.png

Question

Simplify the rational expression. State any restrictions on the variable.

https://i.imgur.com/W8Vh9v0.png

mathmale · Answer

First of all, look at the denominator of the given fraction.  What values can x NOT have, and why?

anonymous · Answer

set x^4-7x^2+10=0, and solve for restriction of dividing by 0

domebotnos · Answer

I'm not sure what values x can't have but I know n can't be a value that makes the denominator equal to zero I think. 
If I factor the denominator I get
(n^2-2) (n^2-5)
So from the answer choices it has to be b or c.

anonymous · Answer

(n^2-2)=0
(n^2-5)=0

solve for n

mathmale · Answer

DB:  You are correct in saying, "I'm not sure what values x can't have but I know n can't be a value that makes the denominator equal to zero I think."

mathmale · Answer

larryboxaplenty is correct when he asks you to 
set x^4-7x^2+10=0.

This is a fourth order polynomial, so theoretically it could have four roots.

Larry's factoring is correct; does it make sense to you?  If not, let's talk.

mathmale · Answer

DB:  Are you still with us in this discussion?

anonymous · Answer

Sadly, I don't think so. You could always message him/her