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Home » Now rewrite the entire expression in terms of $u$: - Sourci

Now rewrite the entire expression in terms of $u$: - Sourci

📅 May 1, 2026 👤 scraface

May 01, 2026

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📌 Solving for \( b \) gives \( b = \sqrt[3]{64} = 4 \).

📌 Solve for \( x \) in the equation \( 2x^2 - 3x - 5 = 0 \).

📌 Here, \( a = 2 \), \( b = -3 \), and \( c = -5 \).

📌 Calculate the discriminant: \( b^2 - 4ac = (-3)^2 - 4(2)(-5) = 9 + 40 = 49 \).

📌 So, \( x = \frac{3 \pm \sqrt{49}}{4} = \frac{3 \pm 7}{4} \).

📌 The solutions are \( x = \frac{10}{4} = 2.5 \) and \( x = \frac{-4}{4} = -1 \).

📌 #### 2.5, -1

📌 A geometric sequence has a first term of 3 and a common ratio of 2. What is the sum of the first 6 terms?

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