You currently have JavaScript disabled on this browser/device. JavaScript must be enabled in order for this website to function properly.

ZingPath: Quadratic Equations

Solving Quadratic Equations by Completing the Square

Searching for

Quadratic Equations

Learn in a way your textbook can't show you.
Explore the full path to learning Quadratic Equations

Lesson Focus

Solving Quadratic Equations by Completing the Square

Algebra-1

Learning Made Easy

You will solve quadratic equations in one variable by completing the square.

Over 1,200 Lessons: Get a Free Trial | Enroll Today

Now You Know

After completing this tutorial, you will be able to complete the following:

  • Determine the necessary term to complete the quadratic expression into a perfect square.
  • Solve a quadratic equation with leading coefficient 1 in one variable by completing the square.
  • Solve a quadratic equation with leading coefficient other than 1 in one variable by completing the square.

Everything You'll Have Covered

The quadratic formula, the formula for a circle, formula for an ellipse, or even the extreme values of a polynomial can all be found by completing the square. This technique from elementary algebra is powerful and elegant.

Tutorial Details

Approximate Time 30 Minutes
Pre-requisite Concepts Students should be able to find square roots of integers and algebraic expressions; identify perfect squares, the parts of a polynomial, and quadratic polynomials; define/solve linear equations; write polynomials in standard form; and multiply polynomials.
Course Algebra-1
Type of Tutorial Procedural Development
Key Vocabulary complete the square, complete the square to solve quadratic equations, perfect square