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यदि `x=alpha-beta-2`, जहाँ `alpha,beta` इकाई के सम्मिश्र घनमूल है, तब सिद्ध कीजिए कि `x^(4)+3x^(3)+2x^(2)-11x-6=1`

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`alpha=omega,beta=omega^(2),x=alpha-beta-2=omega-omega^(2)-2=omega-omega^(2)-1-1=omega-1-(1+omega^(2))=omega-1+omega=2omega=1`
अब x के ये सभी मान दिए गये व्यंजक के बायें पक्ष में रखने पर,

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