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