# If $$y^{4}+x^{4}=y^{4}+p^{4}$$ , then x =

$$x=p$$

Explanation

To solve, subtract $$y^{4}$$ from both sides of the equation and then take the fourth root:

$$y^{4}+x^{4}-y^{4}=y^{4}+p^{4}-y^{4}$$
$$x^{4}=p^{4}$$
x = p