For this case we have a quadratic equation,
, of the form 
Where:

We can solve the equation by factoring, that is, we bias two numbers that multiplied give as a result -60 and added as a result 28.
These numbers are:

Then, the factorization is given by:

The roots are:

Answer:

To answer this item, we use dimensional analysis and conversion factor, 1 revolution is equal to 2π rad. Using the concept and the given,
n = (14.2 revolutions / 8 seconds)(2π rad/1 rev)
n = 11.15 rad/s
Thus, the angular velocity is equal to 11.15 rad/s.
It totals out to 4. I/3 plus 2/3 would equal 1 whole number, then add 1+2+1, you will get 4!