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\frac108216 = \boxed{\frac12} - Silent Sales Machine

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 To find the roots of the quadratic equation \[3x^2 - 12x + 9 = 0,\] we start by applying the quadratic formula:

📌 For the equation \(3x^2 - 12x + 9 = 0\), the coefficients are \(a = 3\), \(b = -12\), and \(c = 9\).

📌 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

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