If x + $\frac{1}{x}$= -2, then what is the value of $x^7 +x^{-7} +x^2 +x^{-2} $ ? ( x < 0)

4 2 1 0

0

If x + $\frac{1}{x}$= -2 This is only possible only when x  = -1 So put the value of x in the given equation,  $x^7 +x^{-7} +x^2 +x^{-2} $  = $1^7 +1^{-7} +1^2 +1^{-2} $ = 0