How Do You Solve a Quadratic Equation by Completing the Square?

How Do You Solve a Quadratic Equation by Completing the Square?

Note:

One of the many ways you can solve a quadratic equation is by completing the square. In this method, you want to turn one side of the equation into a perfect square trinomial. This tutorial takes you through the steps of solving a quadratic equation by completing the square. Check it out!

Keywords:

  • problem
  • skill
  • quadratic equation
  • completing the square
  • complete the square
  • perfect square
  • square root

Background Tutorials

  • Introduction to Algebraic Expressions

  • Factoring ax^2+bx+c

      • How Do You Factor a Polynomial by Guessing and Checking?How Do You Factor a Polynomial by Guessing and Checking?

      How Do You Factor a Polynomial by Guessing and Checking?

      Factoring trinomials can by tricky, but this tutorial can help! Follow along as a trinomial is factored using the guess and check method. What, no possibilities work? The trinomial must be prime! Watch this tutorial and see what happens!

  • Factoring Perfect Square Trinomials

  • Factoring by Grouping and Choosing a Factoring Strategy

      • How Do You Figure Out What Factoring Strategy to Use?How Do You Figure Out What Factoring Strategy to Use?

      How Do You Figure Out What Factoring Strategy to Use?

      When your trying to factor a polynomial, one of the most difficult tasks can be determining the correct factoring strategy. Luckily, this tutorial provides a great strategy for factoring polynomials! Check it out and always know how to approach factoring a polynomial!

  • Graphs of Quadratic Functions

      • How Do You Find the a, b, and c Values of a Quadratic Function?How Do You Find the a, b, and c Values of a Quadratic Function?

      How Do You Find the a, b, and c Values of a Quadratic Function?

      When you're dealing with quadratic equations, it can be really helpful to identify a, b, and c. These values are used to find the axis of symmetry, the discriminant, and even the roots using the quadratic formula. It's no question that it's important to know how to identify these values in a quadratic equation. This tutorial shows you how!

  • Graphing Definitions and Examples

      • What is the Standard Form of a Quadratic?What is the Standard Form of a Quadratic?

      What is the Standard Form of a Quadratic?

      Got a quadratic polynomial? Want to put it in standard form? Watch this tutorial to learn the steps it takes to make sure a quadratic polynomial is in standard form!

Further Exploration