Identify and Solve Quadratic Equations
Utilizing multiple strategies for factoring and solving quadratic equations such as greatest common factor, sum-product pattern, grouping method, perfect squares, the difference of squares pattern, and using square roots. Determining the number of solutions using the discriminant and solving quadratic equations using the quadratic formula. Solving quadratic equations by completing the square and analyzing equations to determine best method for solving given quadratic equations.
Mapped to CCSS Section# HSA.REI.B.4, HSA.REI.B.4.B
Solve quadratic equations in one variable. Solve quadratic equations by inspection (e.g., for x² = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b.