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= \frac(3x + 4)(\sqrtx + 2)x - 4 - Portal da AcÃºstica

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 t(t^2 - 5t + 6) = 0

📌 This gives the factors \( t = 0 \) and \( t^2 - 5t + 6 = 0 \). Solve the quadratic equation:

📌 t^2 - 5t + 6 = 0

📌 t = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} = \frac{5 \pm \sqrt{25 - 24}}{2} = \frac{5 \pm 1}{2}

📌 Thus, \( t = 3 \) or \( t = 2 \). Since \( \sqrt{v} = t \), the roots \( v \) are \( v = 3^2 = 9 \) and \( v = 2^2 = 4 \). The product of the roots is:

📌 \times 4 = 36

📌 Hence, the product of the roots is \(\boxed{36}\).

📌 Find all solutions to the inequality \( w^2 - 4w + 3 < 0 \).

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