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Home » \( -5t^2 + 20t + 2 = 0 \) - jntua results

\( -5t^2 + 20t + 2 = 0 \) - jntua results

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Question:** Solve for \(x\): \(2x^2 - 8x + 6 = 0\).

📌 Using the quadratic formula \(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\), where \(a = 2\), \(b = -8\), \(c = 6\):

📌 x = \frac{8 \pm 4}{4} \implies x = 3 \text{ or } x = 1

📌 Question:** A car travels 150 miles at a speed of 50 mph, then 200 miles at 40 mph. What is the average speed for the entire trip?

📌 Time for first part: \(\frac{150}{50} = 3\) hours.

📌 Time for second part: \(\frac{200}{40} = 5\) hours.

📌 Total distance = 350 miles, total time = 8 hours.

📌 Average speed = \(\frac{350}{8} = 43.75\) mph.

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