Set 17: Quadratic Equations

Explanation

Answer: A

Find the x-intercepts of $y = 2x^2 - 8$ .

$(\pm 2, 0)$

✓ Correct

$(4, 0)$

$(\pm 4, 0)$

$(2, 0)$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Set $y=0$ and solve for x. 1. $2x^2 - 8 = 0$ . 2. Add 8: $2x^2 = 8$ . 3. Divide by 2: $x^2 = 4$ . 4. Square root: $x = \pm 2$ . Choice B is incorrect because it forgets square root. Choice C is incorrect because it forgets to divide by 2. Choice D is incorrect because it misses negative root.

Key Steps:

•

The correct answer is $(\pm 2, 0)$

Why others are wrong:

B: Choice B is incorrect and may result from a calculation error.

C: Choice C is incorrect and may result from a calculation error.

D: Choice D is incorrect and may result from a calculation error.

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