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Home » Is Your Word Cookie Puzzle Breaking the Internet? These Answers Will Blow Your Mind! - Dachbleche24

Is Your Word Cookie Puzzle Breaking the Internet? These Answers Will Blow Your Mind! - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 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).

📌 Circle radius 8 — so it touches the ellipse only at \( (0, \pm8) \).

📌 But does it intersect elsewhere? Try \( y=0 \): ellipse \( x = \pm10 \), circle \( x = \pm8 \) — no intersection.

📌 At \( y=0 \), circle has \( x = \pm8 \), ellipse: \( x^2 = 100 \Rightarrow x = \pm10 \), so \( x=8 < 10 \), within ellipse.

📌 So the circle lies inside the ellipse and touches at \( (0,\pm8) \) — only two intersection points.

📌 But the question asks for how many points from the orbit are **reached** — meaning intersection points.

📌 Since the circle is tangent at two points, there are **2 intersection points**.

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