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Home » Long Grove: What This Hidden Paradise Has to Offer—You’ll Want to Explore! - inBeat

Long Grove: What This Hidden Paradise Has to Offer—You’ll Want to Explore! - inBeat

📅 May 4, 2026 👤 scraface

May 04, 2026

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|a - b|^2 = (a - b)^2 \quad ext{if real, but not necessarily.}
|a - b|^2 = (a - b)(\overline{a} - \overline{b}) = |a|^2 + |b|^2 - a\o...
Not helpful unless complex conjugates known.
Alternate: treat \( a \) and \( b \) as roots of quadratic:
x^2 - (a + b)x + ab = 0 \Rightarrow x^2 - 4x + 3 = 0
Roots: \( x = rac{4 \pm \sqrt{16 - 12}}{2} = rac{4 \pm 2}{2} = 3, 1...
So \( a, b = 1, 3 \) (up to order), both real.
Then \( |a - b| = |1 - 3| = 2 \)
Since the expression is symmetric and values real, and sum/square matc...
oxed{2}

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