If Q(0, 1) is equidistant from `P(5,\ 3)`and R(x, 6), find the values of x. Also find the distances QR and PR.

Explanation

To solve the problem, we need to find the value of \( x \) such that the point \( Q(0, 1) \) is equidistant from points \( P(5, 3) \) and \( R(x, 6) \). We will use the distance formula to set up our equations.

### Step 1: Set up the distance equations

The distance \( PQ \) from point \( P(5, 3) \) to point \( Q(0, 1) \) can be calculated using the distance formula:

\[
PQ = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
...