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N-CN.7 Warmup M2-057-A05-V04

Solve real-coefficient quadratic equations that have complex solutions.

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

Problem

Simplify \(x=(8\pm~\sqrt{-64})/4\) by rewriting \(\sqrt{-64}=8i\) and dividing each numerator term by \(4\).

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