IA2.AT.B.4: Create and solve quadratic equations in one variable. a. Create quadratic equations in one variable to represent relationships between quantities. b. Flexibly choose and apply methods to solve quadratic equations based on their initial form (i.e., solve equations by recognizing perfect squares (e.g., x² = 49), taking square roots, factoring when possible, completing the square, or applying the quadratic formula when necessary). Justify the selected method by reasoning about the structure of the equation and interpret the solution in context when applicable. c. Represent complex solutions as a ± bi for real numbers a and b.