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Home » First, compute the number of binary strings of length 8 with exactly 3 non-adjacent 1s. - jntua results

First, compute the number of binary strings of length 8 with exactly 3 non-adjacent 1s. - jntua results

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 استخدم الصيغة التربيعية: \(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\)

📌 هنا، \(a = 2\)، \(b = -4\)، \(c = -6\)

📌 المميز: \((-4)^2 - 4 \times 2 \times (-6) = 16 + 48 = 64\)

📌 الجذور: \(x = \frac{4 \pm \sqrt{64}}{4} = \frac{4 \pm 8}{4}\)

📌 \(x_1 = \frac{12}{4} = 3\)

📌 \(x_2 = \frac{-4}{4} = -1\)

📌 #### الجذور = 3، -1

📌 خزان مملوء بـ 800 لتر من الماء. يتم تصريف الماء بمعدل 50 لترًا في الساعة، وفي الوقت نفسه، يتم إضافة الماء بمعدل 30 لترًا في الساعة. كم ساعة يستغرق إفراغ الخزان؟

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