Final answer:
The conjugate of the expression 5 - (x + 4) simplifies to 1 - x, and is 1 + x. The information regarding completing the square is not directly related to this question and seems to be from a different context.
Step-by-step explanation:
The question is asking for the conjugate of the expression given the condition that x is greater than or equal to -4. It appears that there is a typo in the question, and the correct expression seems to be 5 - (x + 4). The conjugate of an expression in mathematics generally refers to a change in sign between two terms in a binomial. However, in this case, the expression 5 - (x + 4) simplifies to 1 - x, which is a binomial. The conjugate of 1 - x would be 1 + x.
To support this with an example, if we were looking at the expression (a + b), its conjugate would be (a - b), and vice versa. This is commonly used in algebra to rationalize denominators when dealing with complex fractions.
Nonetheless, the information provided as reference appears to be related to completing the square method which is a different topic: If we complete the square in x², this condition simplifies to 2 (x² − ¹)² ≤ which can be solved to obtain 4. Unfortunately, this reference information does not align directly with the original question. The correct answer to the question, given the likely intended expression, is the conjugate of 1 - x which is 1 + x.