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Home » Given \( A = 314 \), solve for \( r \): - Coaching Toolbox

Given \( A = 314 \), solve for \( r \): - Coaching Toolbox

📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 Solve the quadratic equation \( 2x^2 - 4x - 6 = 0 \) using the quadratic formula \( x = rac{-b \pm \sqrt{b^2 - 4ac}}{2a} \).

📌 The quadratic equation is \( 2x^2 - 4x - 6 = 0 \), where \( a = 2 \), \( b = -4 \), and \( c = -6 \).

📌 Calculate the discriminant:

📌 \[ b^2 - 4ac = (-4)^2 - 4(2)(-6) \]

📌 \[ b^2 - 4ac = 16 + 48 \]

📌 \[ b^2 - 4ac = 64 \]

📌 \[ x = rac{-(-4) \pm \sqrt{64}}{2(2)} \]

📌 \[ x = rac{4 \pm 8}{4} \]

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