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solve \sqrt{x^2 - p}+2\sqrt{x^2-1} = x in real, where p is real also

Source: Spanish Mathematical Olympiad 1996 P4

July 31, 2018
algebraequationradical

Problem Statement

For each real value of pp, find all real solutions of the equation x2−p+2x2−1=x\sqrt{x^2 - p}+2\sqrt{x^2-1} = x.
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