Math II · N-CN.7

Solve real-coefficient quadratic equations that have complex solutions.

Solve real-coefficient quadratic equations that have complex solutions.

Concept Number and Quantity
Domain The Complex Number System
Problem Types

Problem Templates In This Objective

10 problem types are attached to this objective. The full web app handles practice, answers, hints, and walkthroughs.

Template 1

Classify any quadratic using the discriminant

4 variants
Template 2

Solve a quadratic of the form ax² + c = 0 over the complex numbers by using square roots

4 variants
Template 3

Solve a quadratic with a negative discriminant using the quadratic formula

4 variants
Template 4

Solve a real-coefficient quadratic with complex solutions by completing the square

4 variants
Template 5

Rewrite quadratic-formula solutions with a negative square root in standard complex form

4 variants
Template 6

Verify that a given complex number is a solution of a quadratic equation

4 variants
Template 7

Connect x-intercept count to real and complex root fields

4 variants
Template 8

Find a quadratic equation with real coefficients from a pair of complex conjugate roots

4 variants
Template 9

Classify the solutions of a quadratic from its discriminant

4 variants
Template 10

Choose the most direct displayed-form method and solve

4 variants