Set 4: Quadratic Equations (Intermediate)

Choice A is correct. Choice A is the correct answer. 1. $\Delta = 17 > 0$, so roots are real and distinct. 2. 17 is not a perfect square, so $\sqrt{17}$ is irrational. 3. Therefore, the roots are irrational. Choice B is incorrect because 17 is not a perfect square. Choice C is incorrect because $\Delta \neq 0$. Choice D is incorrect because $\Delta > 0$.