# Completing the square and the quadratic formula

7 videos

6 skills

You're already familiar with factoring quadratics, but have begun to realize that it only is useful in certain cases. Well, this tutorial will introduce you to something far more powerful and general. Even better, it is the bridge to understanding and proving the famous quadratic formula.
Welcome to the world of completing the square!

### Solving quadratic equations by square roots

VIDEO
11:03 minutes

Solving Quadratic Equations by Square Roots

### Solving quadratics by taking the square root

PRACTICE PROBLEMS

Solve quadratics by taking the square root.

### Solving quadratic equations by completing the square

VIDEO
14:06 minutes

Solving Quadratic Equations by Completing the Square

### Solving quadratics by completing the square 1

PRACTICE PROBLEMS

Find the roots of a quadratic equation by completing the square.

### Solving quadratics by completing the square 2

PRACTICE PROBLEMS

Find the roots of a quadratic by completing the square. The numbers are a bit less convenient than they are in level 1.

### Using the quadratic formula

PRACTICE PROBLEMS

Use the quadratic formula to find the roots of a quadratic function.

### Quadratic formula with complex solutions

PRACTICE PROBLEMS

### Discriminant for types of solutions for a quadratic

VIDEO
4:37 minutes

Discriminant for Types of Solutions for a Quadratic

### Solutions to quadratic equations

PRACTICE PROBLEMS

Determine how many solutions a quadratic equation has and whether they are rational, irrational, or complex