Final answer:
Without context or a specific relationship within a pentagon, we cannot accurately solve for x. The question needs additional information about the pentagon or a relevant geometric principle to provide an answer.
Step-by-step explanation:
In order to solve for x in a pentagon, or any other geometric shape, we would typically look for relationships such as angles, sides, or special theorems that apply to that shape. However, the question as presented does not give a specific geometric relationship or context to find the value of x. Hence, we cannot solve for x without additional information.
For example, one of the provided references is an algebraic expression, (2x)² = 4.0 (1 − x)², which suggests taking the square root of both sides and then rearranging the terms to solve for x. Another expression given is b-a) ² = √ (15-0) ², which simplifies to b-a = 15 after taking the square root of both sides. However, without a clear link to a pentagon, these references do not provide a path to solve for x within a pentagon context.