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Home » Derivative of \( 5x^4 \) is \( 20x^3 \). - Dachbleche24

Derivative of \( 5x^4 \) is \( 20x^3 \). - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 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:

📌 4x^2 - 20x + 25 = (2x - 5)^2

📌 2x - 5 = 0

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