X^8-2x^4+1=0 prove it
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x⁸-2x⁴+1=0
=(x⁴)²+1²-2x⁴=0
=(x⁴+1)²-2x⁴=0
=(x⁴+1)²+2×x⁴×1-2x⁴=0
=(x⁴+1)²=0
=(x⁴+1)²=0²
=x⁴+1=0
=x⁴=-1⁴
x=1
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