Back to The Complex Number System — Problem 3 · Task Set 28

HSN.CN Tutor Intake — Complex Numbers

This short check helps your tutor understand where to start with complex numbers. Answer each question on your own without notes or a calculator. If you are unsure, give your best try — the goal is to find what to work on together, not to grade you.

Grade 10·12 problems·~14 min·Common Core Math - HS Number and Quantity·domain·cn

Work through problems with immediate feedback

Concepts

A student computes the discriminant of $x^2 + 4x + 13 = 0$
and gets $b^2 - 4ac = 16 - 52 = -36$ . What does this tell
us about the solutions?

The equation has no solutions.

The equation has one repeated real solution.

The equation has two complex (non-real) solutions that are complex conjugates of each other.

The equation has two distinct real solutions.