Common Core · High school

HSN-CN.A.2

High school — Use the relation i² = −1 and the commutative, associative and distributive properties to add, subtract and multiply complex numbers.

The skill that covers it

Complex NumbersExtend the number system with i = sqrt(-1): simplify powers of i, add, subtract, multiply and divide complex numbers, and solve the quadratics whose discriminant is negative.Read the lesson →

What a student should be able to do

Write the square root of a negative number in terms of i, and simplify a power of i.
Add, subtract and multiply complex numbers, and write the result in the form $a +$ bi.
Divide complex numbers by multiplying by the conjugate of the denominator.
Solve a quadratic equation with a negative discriminant and write its complex solutions.

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