Question

Solve the following quadratic function

by utilizing the square root method.
y = 64-16x²
X = = + [?]
Please help me

Answer 1

x = ±2

Explanation:

Given :

y = 64 - 16x²

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Add 16x² to each side (take y = 0) :

⇒ 0 + 16x² = 64 - 16x² + 16x²

⇒ 16x² = 64

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Divide both sides by 16 :

⇒ 1/16 × 16x² = 1/16 × 64

⇒ x² = 4

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Taking square root on both sides :

⇒ √(x²) = √4

⇒ x = ±2