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Number Theory Level 4

If a = 1/2-sqrt3 , evaluate a^3 - 2a^2 -7a +5 .......

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Karandeep Singh Ludhar by karandeep singh ludhar , 21, India

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2 solutions

Vaibhav Prasad
Apr 2, 2015

karandeep singh ludhar It wold really help if you learnt latex... :)

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Sorry, but I am patient enough to brute force this cubic by substitution.... Didn't waste any time thinking for an elegant solution ;P ! Btw please edit the question to incorporate latex because there is ambiguity whether a = 1 2 − 3 a = \dfrac {1}{2} - \sqrt {3} or a = 1 2 − 3 a = \dfrac {1}{2 - \sqrt {3}} .

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