Problem 5 - Entrance Test

What are the solutions to the equation x^2 - 7x + 12 = 0?

A. x = 3 and x = 4B. x = 2 and x = 6C. x = 4 and x = 5D. x = 3 and x = 5

Correct: A

To solve the quadratic equation x^2 - 7x + 12 = 0, we can factor it or use the quadratic formula. Factoring gives us (x - 3)(x - 4) = 0. Setting each factor equal to 0 gives us x - 3 = 0 or x - 4 = 0, which leads to x = 3 or x = 4.