Set 14: Quadratic Equations (Intermediate)

Choice A is correct. Choice A is the correct answer. 1. Set equal: $x^2 + 1 = 2 x$. 2. Rearrange: $x^2 - 2 x + 1 = 0$. 3. Factor: $(x - 1)^2 = 0$. 4. Solve: $x = 1$ (one repeated solution, meaning the line is tangent). 5. Find y: $y = 2(1) = 2$. 6. Point: $(1, 2)$. Choice B is incorrect because $y \neq 1$. Choice C is incorrect because $x \neq 2$. Choice D is incorrect.