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Home » D. For no $x$ does the statement hold - Coaching Toolbox

D. For no $x$ does the statement hold - Coaching Toolbox

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 Two angles of a triangle are 40° and 70°. What is the third angle?

📌 Third angle = 180° - 40° - 70° = 70°.

📌 A car accelerates uniformly from rest to 60 m/s in 10 seconds. What is its acceleration?

📌 Acceleration = (Final velocity - Initial velocity) / Time = (60 - 0) / 10 = 6 m/s².

📌 The square of a number exceeds twice the number by 15. What is the number?

📌 Let the number be x. Equation: x² = 2x + 15 → x² - 2x - 15 = 0.

📌 Factor: (x - 5)(x + 3) = 0 → x = 5 or x = -3.

📌 Both are valid solutions.

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