Common Core · High school
HSN-CN.A.1
High school — Know there is a complex number i such that i² = −1, and every complex number has the form a + bi with a and b real.
The skill that covers it
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.