Solve quadratic equations in one variable. Use the method of completing the square to transform any quadratic equation in 𝑥 into an equation of the form (𝑥 – 𝑝)² = 𝑞 that has the same solutions. Solve quadratic equations (as appropriate to the initial form of the equation) by: inspection of a graph, taking square roots, completing the square, using the quadratic formula, factoring. Recognize complex solutions and write them as 𝑎 ± 𝑏𝑖 for real numbers 𝑎 and 𝑏 (Algebra 2 only).
Reasoning with Equations and Inequalities
Solve equations and inequalities in one variable