In a G.P., if the product of the first three terms is 27 and the set of all possible values for the sum of its first three terms is R -(a, b), then…

In a G.P., if the product of the first three terms is $\displaystyle 27$ and the set of all possible values for the sum of its first three terms is $\displaystyle \mathbb{R}-(a, b)$, then $\displaystyle a^2+b^2$ is equal to $\displaystyle \_\_\_\_$.