Answer :

The answer is 4.

Starting with 4
= square root (4 - 5)
= square root (-1)
= imaginary 

Hope this helps!

Answer:

x = 4

Step-by-step explanation:

Value of [tex]\sqrt{(x-5)}[/tex] will be imaginary. if [tex]\sqrt{(x-5)}[/tex] = [tex]\sqrt{(-1)}[/tex]

Since [tex]\sqrt{(-1)}[/tex] is not defined to square root will be imaginary.

In this question greatest possible integer value of x has been asked.

(x-5) will be negative if x<5 and the maximum value of x will be 4 above which (x-5) will be greater than zero.

Therefore, x = 4 is the maximum integer value of x for which square root of (x-5) is an imaginary number.

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