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Home » 0.20x = 5 \\ - Richter Guitar

0.20x = 5 \\ - Richter Guitar

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 #### Dimensions: Width = 8 units, Length = 24 units

📌 A quadratic equation \( ax^2 + bx + c = 0 \) has roots 3 and -5. Find the values of \( a \), \( b \), and \( c \) if \( a = 2 \).

📌 The sum of the roots is \( 3 + (-5) = -2 \), and the product is \( 3 imes (-5) = -15 \).

📌 The equation is \( 2x^2 + bx + c = 0 \).

📌 Using Vieta's formulas: \( -rac{b}{2} = -2 \) and \( rac{c}{2} = -15 \).

📌 Solving for \( b \), \( b = 4 \).

📌 Solving for \( c \), \( c = -30 \).

📌 #### \( a = 2 \), \( b = 4 \), \( c = -30 \)

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