Set 7: Quadratic Equations

Explanation

Answer: A

How many points of intersection between $y = x^2$ and $x = y^2$ ?

✓ Correct

Detailed Explanation

Choice A is correct. Choice A is the correct answer. 1. Substitute $y=x^2$ into $x=y^2$ : $x = (x^2)^2 = x^4$ . 2. $x^4 - x = 0$ . 3. Factor: $x(x^3 - 1) = 0$ . 4. Real solutions: $x = 0$ and $x = 1$ . 5. Points: $(0,0)$ and $(1,1)$ . Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

Key Steps:

•

The correct answer is 2

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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