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Home » What Does the ‘Conjunction of Hacer’ Mean? Experts Reveal the Surprise! - Abbey Badges

What Does the ‘Conjunction of Hacer’ Mean? Experts Reveal the Surprise! - Abbey Badges

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 Relative speed: \(90 - 60 = 30\) km/h

📌 Time to catch up: \(\frac{120}{30} = 4\) hours

📌 Total time from first train: \(2 + 4 = 6\) hours

📌 #### 6 hours

📌 The product of two consecutive even integers is 168. Find the smaller integer.

📌 Let integers: \(x\) and \(x + 2\)

📌 \(x(x + 2) = 168 \Rightarrow x^2 + 2x - 168 = 0\)

📌 Discriminant: \(4 + 672 = 676 = 26^2\)

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Discriminant: \( 4 + 560 = 564 \) → not a perfect square → no integer...
Wait — maybe typo? Try correct sum.
Try x = 11: 121 + 144 + 169 = 434
x = 10: 100 + 121 + 144 = 365
x = 12: 144 + 169 + 196 = 144+169=313+196=509 → too big
No integer x gives 425?
But problem assumes solution exists.
Wait — perhaps I made arithmetic error.
x = [-2 ± √(4 + 560)]/2 = [-2 ± √564]/2
√564 = √(4×141) = 2√141 ≈ 2×11.87 = 23.74

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