Question: What is the value of x in the equation 2x^2 - 4x - 6 = 0?

Options:

1. x = 3
2. x = -1
3. x = 2
4. x = -3

Correct Answer: x = 3

Solution:

Using the quadratic formula x = (-b ± √(b² - 4ac)) / 2a. Here, a = 2, b = -4, c = -6. Discriminant = (-4)² - 4(2)(-6) = 16 + 48 = 64. x = (4 ± √64) / 4 = (4 ± 8) / 4. Thus, x = 3 or x = -1.