Let α and β are roots x2−7.32x−3=0 and let An=αn+βn, then A37−3A35A36 is equal to

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answer is 7.32.

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Detailed Solution

An+1=(α+β)αn+βn−αβαn−1+βn−1 =7.32An+3An−1 ⇒ A37−3A35A36=7.32

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