Suppose we have a uniform beam that is 3.17 metres long has a flexural rigidity of 34273 Nm^2.
Find the maximum magnitude deflection (i.e., the largest absolute value of deflection) of the beam in millimetres, as well as the x -coordinate of the point where that maximum occurs (in metres) if the beam is under a load of f (x) = 6.00 (x+0.57) (5.2616 − x) N m and is supported with simple supports at both ends.

The maximum magnitude of deflection is y (x) = ? mm when x = ? m

I got 1.71582mm for y(x) and 1.585m for x. (which is wrong)
Correct answer: Maximum magnitude of deflection is y(x) = 1.71614 mm when x = 1.6048 m