Problem preview
N-CN.7 Warmup M2-057-A11-V04

Solve real-coefficient quadratic equations that have complex solutions.

Choose the most direct displayed-form method and solve

Problem

For \((x-4)^{2}+9=0\), use the already squared binomial to name the most direct method. Isolate the square, take \(\text{both}~\text{complex}~\text{square}~\text{roots}\), and solve for \(x\).

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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
Choose the most direct displayed-form method and solve