19. Critique Reasoning Manolo says that the solution of the equation \( g^{2}=36 \) is \( g=6 \) because \( 6 \times 6=36 \). Is Manolo's reasoning complete? Explain.

Manolo's reasoning is not complete. While it is true that \( g = 6 \) is one solution to the equation \( g^2 = 36 \) because \( 6 \times 6 = 36 \), he has overlooked another possible solution. The equation \( g^2 = 36 \) can be solved by taking the square root of both sides. When taking the square root, we must consider both the positive and negative roots. Therefore, the complete solution to the equation is: \[ g = 6 \quad \text{or} \quad g = -6 \] This means that both \( g = 6 \) and \( g = -6 \) satisfy the equation \( g^2 = 36 \) since: \[ (-6) \times (-6) = 36 \] In conclusion, Manolo's reasoning is incomplete because he only identified one of the two valid solutions to the equation.