# System of equations... Can YOU find $$n$$?

Algebra Level pending

$$x$$, $$y$$, and $$z$$ are all real numbers.

$$x+y+z=0$$

$$x ^ 2+y ^ 2+z ^ 2=\sqrt{74}$$

$$x ^ 4+y ^ 4+z ^ 4=n$$

Find the value of $$\frac{n-7}{2}$$.

×