Problem preview
A-REI.4.a Warmup M2-005-A04-V02

Complete the square to transform quadratics and derive the quadratic formula.

Solve a monic quadratic equation by completing the square

Problem

Solve \(x^{2}-4x-1=0\) by completing the square. Isolate the variable terms, form a perfect square, and keep both exact radical branches in the solution set.

Inside Gozunta

Turn the preview into practice.

More than a preview

Gozunta lets you study this problem—and more than 10,000 others.

Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.

Discover Gozunta Try it now
Four variants of this problem type
Curriculum context
Course
Math II
Standard
A-REI.4.a
Category
Algebra
Domain
Reasoning with Equations and Inequalities
Objective
Complete the square to transform quadratics and derive the quadratic formula.
Problem type
Solve a monic quadratic equation by completing the square