Set 6: Quadratic Equations

Explanation

Answer: A

Find the x-coordinates of intersection for $y = x^2 - 3x$ and $y = x - 3$ .

$1, 3$

✓ Correct

$1, -3$

$-1, 3$

$0, 3$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. 1. Set equal: $x^2 - 3 x = x - 3$ . 2. Rearrange: $x^2 - 4 x + 3 = 0$ . 3. Factor: $(x - 3)(x - 1) = 0$ . 4. Solutions: $x = 3$ and $x = 1$ . Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

Key Steps:

•

The correct answer is $1, 3$

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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