Question

What are the possible values of x if 52 ÷ (|x|+8) = 4?

O {-21, 21}
O {-13, 13}
O {-11, 11}
O {-5,5}

Answer 1

First, we can multiply both sides of the equation by the absolute value of x plus 8, to get rid of the fraction:

52 = 4(|x| + 8)

Now we can solve for the absolute value of x:

| x | + 8 = 13

| x | = 5

This means that x could be either positive 5 or negative 5. Therefore, the possible values of x are {-5, 5}.

So the answer is option D: {-5, 5}.