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161

Part of 1949 Moscow Mathematical Olympiad

Problems(1)

MMO 161 Moscow MO 1949 x^2+2ax+1/16=-a+\sqrt{a^2 +x-1/16}

Source:

7/20/2019
Find the real roots of the equation x2+2ax+116=−a+a2+x−116x^2 + 2ax + \frac{1}{16} = -a +\sqrt{ a^2 + x - \frac{1}{16} } , (0<a<14)\left(0 < a < \frac14 \right) .
radicalequationalgebraparameter