Find the value of c that completes the square r^2-26r+c

To complete the square for the quadratic expression r^2 - 26r + c, we need to determine the value of c.

We know that to complete the square, the coefficient of r needs to be divided by 2 and squared. In this case, the coefficient of r is -26, so we need to determine (-26/2)^2.

(-26/2)^2 = (-13)^2 = 169

Therefore, the value of c that completes the square for the expression r^2 - 26r + c is 169.