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N-CN.7 Warmup M2-057-A03-V02

Solve real-coefficient quadratic equations that have complex solutions.

Solve a quadratic with a negative discriminant using the quadratic formula

Problem

Apply the quadratic formula to \(x^{2}+2x+5=0\). Simplify the negative discriminant with \(i\) and report \(\text{both}~\text{roots}\) in standard complex form.

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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
Solve a quadratic with a negative discriminant using the quadratic formula