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Home » = 25 + 10\sqrt21 + 21 - High Altitude Science

= 25 + 10\sqrt21 + 21 - High Altitude Science

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📝 Recent Posts

Solution: The smallest day both patterns coincide is the LCM of 9 and...
Question: How many lattice points lie on the ellipse $x^2 + 4y^2 = 16$...
Solution: Rewrite the equation as $\frac{x^2}{16} + \frac{y^2}{4} = 1$...
$y = 0$: $x^2 = 16 \Rightarrow x = \pm4$ (2 points).
$y = \pm1$: $x^2 + 4(1) = 16 \Rightarrow x^2 = 12$ (no integer solutio...
$y = \pm2$: $x^2 + 4(4) = 16 \Rightarrow x^2 = 0 \Rightarrow x = 0$ (2...
Total lattice points: $2 + 2 = \boxed{4}$.
Question: What two-digit number is three more than a multiple of 7 and...
Solution: Let the number be $n$. Then $n \equiv 3 \pmod{7}$ and $n \eq...
From $n \equiv 5 \pmod{6}$, $n = 6k + 5$. Substitute into the first co...

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