[MA2015] AL2 (9-12) 2 :
2 ) Use the relation i2 = -1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers. [N-CN2]
[MA2015] AL2 (9-12) 4 :
4 ) Solve quadratic equations with real coefficients that have complex solutions. [N-CN7]
[MA2019] AL1-19 (9-12) 3 :
3. Define the imaginary number i such that i2 = -1. [MA2019] AL1-19 (9-12) 9 :
9. Select an appropriate method to solve a quadratic equation in one variable.
a. 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. Explain how the quadratic formula is derived from this form.
b. Solve quadratic equations by inspection (such as x2 = 49), taking square roots, completing the square, the quadratic formula, and factoring, as appropriate to the initial form of the equation, and recognize that some solutions may not be real.