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

Multiply polynomials of degree one and degree two
- 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!
Factor, if possible, trinomials with real factors in the form ax2 + bx + c, including perfect square trinomials of degree two
- How Do You Use a Shortcut to Factor a Perfect Square Trinomial?
  
  Factoring a perfect square trinomial? Did you know there's a shortcut to factoring this special kind of trinomial? Check it out! It's pretty cool, and it may make this process a little faster!
- 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!
Write the quadratic function given three specified points in the plane
- 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!