Final answer:
B) x = -12 the specified requirement for a single solution points towards x = -12 as the accurate answer.
Explanation:
The equation x^2 = 144 can be solved by taking the square root of both sides. Considering the square root of 144 equals 12, it's important to consider both the positive and negative roots when solving for x. Therefore, the solutions are x = 12 and x = -12. However, the correct answer in this context where the solution is a single value would be x = -12 as per the given options. This is because the problem likely seeks a single numerical solution rather than both positive and negative solutions.
This quadratic equation essentially represents a scenario where the square of a number (x) equals 144. By finding the square root of both sides, it's possible to determine the value(s) of x that satisfy this equation. In this case, since x^2 = 144, x can either be positive 12 or negative 12 because both positive 12 and negative 12 squared yield 144. However, the specified requirement for a single solution points towards x = -12 as the accurate answer.