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Home » C. The Montreal Protocol - ToelettAPP

C. The Montreal Protocol - ToelettAPP

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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

📌 Thus, the expression is a perfect square:

📌 4x^2 - 20x + 25 = (2x - 5)^2

📌 2x - 5 = 0

📌 2x = 5 \quad \Rightarrow \quad x = \frac{5}{2}

📌 Thus, the value of \(x\) is \(\boxed{\frac{5}{2}}\).**Question:** An electrical engineer is designing a battery system with compartments shaped like squares. If each compartment can hold exactly one 1x1 square cell, what is the smallest number of 1x1 compartments needed to cover a square region of 16 square units completely?

📌 To cover a square region of 16 square units, we need to determine the side length of the square. Since the area of a square is given by the side length squared, we have:

📌 \[ \text{Side length}^2 = 16 \]

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