If $x+\frac{5}{y}=4$, and then $\$y+\backslash frac\{5\}\{x\}=\; -4\$$  what is (x + y) equal to?

 If $x{}^2-x+1=0$, then what is $(x-\frac{1}{x})^2+(x-\frac{1}{x})^4+(x-\frac{1}{x})^8$

If n is a root of the equation x² + px + m = 0 and m is a root of the equation x² + px + n = 0, where m ≠ n, then what is the value of p + m + n?

What is the number of real roots of the equation (x - 1)² + (x - 3)² + (x - 5)² = 0?