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Home » #### Area = \( 25\pi \) square units - SUpost

#### Area = \( 25\pi \) square units - SUpost

📅 July 5, 2026 👤 scraface

Jul 05, 2026

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📌 b^2 - 4ac = (-12)^2 - 4 \cdot 3 \cdot 9 = 144 - 108 = 36

📌 Since the discriminant is positive, there are two real roots. Now, apply the quadratic formula:

📌 x = \frac{-(-12) \pm \sqrt{36}}{2 \cdot 3} = \frac{12 \pm 6}{6}

📌 Calculate the two roots:

📌 x_1 = \frac{12 + 6}{6} = \frac{18}{6} = 3

📌 x_2 = \frac{12 - 6}{6} = \frac{6}{6} = 1

📌 Thus, the roots of the equation are \(\boxed{1 \text{ and } 3}\).

📌 An urban ecology researcher is analyzing the growth of green spaces modeled by the function \[f(x) = 2x^3 - 5x^2 + 3x - 1.\] Compute \(f(2)\).

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