If $x^{2} + \left(\frac{1}{x^{2}}\right) $= 1, then what is the value of $x^{48} + x^{42} + x^{36} + x^{30} + x^{24} + x^{18} + x^{12} + x^{6} + 1$?

If $x^{2} + \left(\frac{1}{x^{2}}\right) $= 1, then what is the value of $x^{48} + x^{42} + x^{36} + x^{30} + x^{24} + x^{18} + x^{12} + x^{6} + 1$?
1). -9
2). 0
3). 1
4). 9

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