How to use fzero() to solve polynomial equation in MATLAB?

I would like to solve the following polynomial numerically for r:

I am trying to use fzero() as follows:

r = (5/(r^2*9))- ((2)/(9*(6-r)^2))
x0 = 10; % some initial point
x = fzero(r,x0)

How can this be done with fzero()?

• Input variable and function name should be different
• Just change the function name to pol
• To use fzero the function pol have to be a function handle defined via @

pol =@(r) (5/(r^2*9))- ((2)/(9*(6-r)^2))
x0 = 10; % some initial point
x = fzero(pol,x0)

solution

x =  3.6754