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Home » Differentiate with respect to $ x $ and set derivative to zero: - Imagemakers

Differentiate with respect to $ x $ and set derivative to zero: - Imagemakers

📅 May 1, 2026 👤 scraface

May 01, 2026

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Solve for \( x \): \( 2x^2 - 16x + 30 = 0 \).
Use the quadratic formula: \(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\),...
Discriminant:
b^2 - 4ac = (-16)^2 - 4 \times 2 \times 30 = 256 - 240 = 16
Roots:
x = \frac{16 \pm \sqrt{16}}{4} = \frac{16 \pm 4}{4}
x = \frac{20}{4} = 5, \quad x = \frac{12}{4} = 3
#### #### 3, 5
A rectangular plot of land has a length that is twice its width. If th...
Perimeter: \(2(w + 2w) = 180 \Rightarrow 6w = 180 \Rightarrow w = 30\)...

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