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Home » Area of the square not covered by the circle: - Midis

Area of the square not covered by the circle: - Midis

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 x^2 - 9 = (x - 3)(x + 3)

📌 Thus, the factored form is \(\boxed{(x - 3)(x + 3)}\).

📌 A scientist models nutrient uptake with the equation \[4x^2 - 20x + 25 = 0.\] Find the value of \(x\) that satisfies this equation.

📌 The equation \(4x^2 - 20x + 25 = 0\) is a quadratic. First, observe if it is a perfect square trinomial by checking if it can be written in the form \((ax + b)^2 = 0\).

📌 Rewrite each term:

📌 Observe that:

📌 4x^2 = (2x)^2, \quad 25 = 5^2, \quad -20x = -2 \cdot 2x \cdot 5

📌 Thus, the expression is a perfect square:

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