Problem preview

A-REI.4.b Warmup M2-006-A03-V02

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

Solve a difference-of-squares equation by factoring and using the zero-product property

Problem

Solve \(4x^{2}-81=0\) by factoring the difference of squares. Express each term as a square, form conjugate factors, and solve both resulting equations.

Answer choices

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Preview only

x = -9/2 and x = 9/2

x = 9/2

x = -9/2

x = -9 and x = 9

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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 difference-of-squares equation by factoring and using the zero-product property