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Home » Is Your Dog a Maltese Or? Discover the 5 Key Signs You Need to Know! - American Beagle Club

Is Your Dog a Maltese Or? Discover the 5 Key Signs You Need to Know! - American Beagle Club

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 x^2 = 14 + 2\sqrt{7^2 - (2\sqrt{10})^2} = 14 + 2\sqrt{49 - 40} = 14 + 2\sqrt{9} = 14 + 2 \times 3 = 14 + 6 = 20

📌 Thus, $ x^2 = \boxed{20} $.

📌 Question: Find the largest value of $ x $ that satisfies $ |2x - 5| + |x + 3| = 12 $.

📌 Solution: We analyze the expression by considering the critical points where expressions inside absolute values change sign: $ x = \frac{5}{2} $ and $ x = -3 $. We consider three intervals:

📌 $ x < -3 $:

📌 Then $ 2x - 5 < 0 $, $ x + 3 < 0 $, so:

📌 -(2x - 5) - (x + 3) = -2x + 5 - x - 3 = -3x + 2 = 12 \Rightarrow -3x = 10 \Rightarrow x = -\frac{10}{3} \approx -3.33

📌 But $ -\frac{10}{3} < -3 $, so valid.

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