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Aucun nombre rÃ©el ne satisfait cette Ã©quation. - Portal da AcÃºstica

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Solve for \(x\) in the quadratic equation \(2x^2 - 4x - 6 = 0\).

📌 Use the quadratic formula: \(x = rac{-b \pm \sqrt{b^2 - 4ac}}{2a}\).

📌 Identify \(a = 2\), \(b = -4\), \(c = -6\).

📌 \[ b^2 - 4ac = (-4)^2 - 4 imes 2 imes (-6) = 16 + 48 = 64 \]

📌 Apply the quadratic formula:

📌 \[ x = rac{-(-4) \pm \sqrt{64}}{4} = rac{4 \pm 8}{4} \]

📌 This gives two solutions:

📌 \[ x = rac{4 + 8}{4} = 3 \quad ext{and} \quad x = rac{4 - 8}{4} = -1 \]

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