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Consider an equation z^(197)=1(z is a complex number). If alpha, beta are its two randomly chosen roots. 'p' denotes the probability that sqrt(2+sqrt(3)) le|alpha+beta|, then |
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Answer» `p=1/1996,aepsilonI` `implies|1+alpha|^(2)=|(1+costheta)+isintheta|^(2)=2+2costhetage2+SQRT(3)` `impliescosthetage(sqrt(3))/2` so, we GET 332 angles `:.p=332/1996` |
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