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LetP(x)=x2-x-1
since à and ß are the zeroes of P(x)
so, à+ß=-b/a=-(-1)/1=1
and à.ß =c/a=-1/1=-1
Now, à^6ß^4+à^4ß^6=à4.ß4(à^2+ß^2)
= à^4ß4[(à+ß)^2-2à.ß ]
=1^4×(-1)^4[(1)^2-2×1×(-1)]
=1×1(1+2)
=1×3
= 3
Step-by-step explanation:
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