Answer:
To identify the values of \( x \) for which \( y \) will be a real number, we need to avoid dividing by zero since division by zero is undefined. Therefore, the denominator \( x - 5 \) must not equal zero.
So, we set the denominator \( x - 5 \) not equal to zero and solve for \( x \):
x - 5 ≠0
Adding 5 to both sides, we get:
x≠ 5
So, any value of \( x \) except \( x = 5 \) will make \( y \) a real number.
