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MathNet 2016-part-07 — 182 problems (EN–VI) Question 31

Math Olympiad Vault · MathNet 2016-part-07 — 182 problems (EN–VI)

Question 31

Solve for real $x$ :
$$
x + \sqrt{(x+1)(x+2)} + \sqrt{(x+2)(x+3)} + \sqrt{(x+3)(x+1)} = 4.
$$