Final answer:
The equation that has exactly one solution is option A) 3 + 10x² = 4x + 2.
Step-by-step explanation:
The equation that has exactly one solution is option A) 3 + 10x² = 4x + 2.
To determine this, we can simplify the equation and check its discriminant. Rearranging the equation, we get 10x² - 4x = -1, or 10x² - 4x + 1 = 0.
The discriminant is given by b² - 4ac, where a = 10, b = -4, and c = 1. Plugging these values into the formula, we get (-4)² - 4(10)(1) = 16 - 40 = -24.
Since the discriminant is negative, the equation has exactly one solution. Therefore, option A) is the correct answer.