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x^2\left( \frac{1}{100} - \frac{1}{64} \right) = 0 \Rightarrow x^2 = 0
Only solution is \( x = 0 \), \( y = \pm8 \).
But geometrically: ellipse \( \frac{x^2}{100} + \frac{y^2}{64} = 1 \) has semi-major axis 10 (x), semi-minor 8 (y).

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