MathDB

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Part of 2021 Auckland Mathematical Olympiad

Problems(2)

\sqrt{x^2 - 4x + 13} + 1 = 2x (2021 Auckland MO J1)

Source:

11/14/2021
Solve the equation x2−4x+13+1=2x\sqrt{x^2 - 4x + 13} + 1 = 2x
algebraradical
\sqrt{(x^3 - 8)/x } > x - 2 (2021 Auckland MO S1)

Source:

11/15/2021
Find all real numbers xx for which x3−8x>x−2.\sqrt{\frac{x^3 - 8}{x}} > x - 2.
algebra