Alternating signs

Algebra Level 1

{x2=1x3=−1x4=1 \begin{cases} x^2&=& 1 \\ x^3 &=& -1 \\ x^4 &=& 1 \end{cases}

If all the equations above are true. Then what is the value of xx?

Pi Han Goh by Pi Han Goh
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