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N-CN.7 Warmup M2-057-A01-V04

Solve real-coefficient quadratic equations that have complex solutions.

Classify any quadratic using the discriminant

Problem

For \(3x^{2}+2x+7=0\), calculate \(b^{2}-4ac\) and use its sign to classify the number and type of solutions over the complex numbers.

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Four variants of this problem type
Curriculum context
Course
Math II
Standard
N-CN.7
Category
Number and Quantity
Domain
The Complex Number System
Objective
Solve real-coefficient quadratic equations that have complex solutions.
Problem type
Classify any quadratic using the discriminant