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N-CN.1 Warmup M2-055-A07-V03

Understand i as a number with i^2=-1 and represent complex numbers as a+bi.

Solve equations of the form \(x^2 =\) a negative number using \(i\)

Problem

Solve \(x^{2}+16=0\) over the complex numbers. Isolate \(x^{2}=-16\), take \(\text{both}~\text{square}~\text{roots}\), and state the complete solution set.

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Four variants of this problem type
Curriculum context
Course
Math II
Standard
N-CN.1
Category
Number and Quantity
Domain
The Complex Number System
Objective
Understand i as a number with i^2=-1 and represent complex numbers as a+bi.
Problem type
Solve equations of the form \(x^2 =\) a negative number using \(i\)