> it's important to identify your weaknesses. Once identified they are no longer weaknesses but areas to work on

As Tevye might say, You're right!

> it's better to leave weaknesses be and instead utilize your strengths

You're right!

> They can't both be right.

You know, you are also right.

- - -

Or maybe this illustrates that overly simplistic "solutions" to the complexities of life are just that... overly simplistic, that is, not solutions.