Problem preview

A-REI.4.b Warmup M2-006-A08-V02

Solve quadratics by inspection, square roots, completing the square, formula, and factoring; express complex solutions.

Solve a quadratic equation with complex solutions by completing the square and writing the answers using i

Problem

Solve \(x^{2}+4x+8=0\) by completing the square over the complex numbers. Form the squared binomial, convert the negative radicand using \(i\), and retain both branches.

Answer choices

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x = -2 + 2i, x = -2 - 2i

x = 2 + 2i, x = 2 - 2i

x = -2 + 4i, x = -2 - 4i

x = -2 + i, x = -2 - i

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Curriculum context

Course: Math II
Standard: A-REI.4.b
Category: Algebra
Domain: Reasoning with Equations and Inequalities
Objective: Solve quadratics by inspection, square roots, completing the square, formula, and factoring; express complex solutions.
Problem type: Solve a quadratic equation with complex solutions by completing the square and writing the answers using i