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IMO Shortlist 1969 problem 65

1969 alg identitet korijen shortlist
(USS 2) Prove that for a > b^2, the identity \sqrt{a-b\sqrt{a+b\sqrt{a-b\sqrt{a+\cdots}}}}=\sqrt{a-\frac{3}{4}b^2}-\frac{1}{2}b holds.

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