10-4 Solving Quadratic Equations by Using the Quadratic Formula Objectives Students will be able to: 1)Solve quadratic equations by using the Quadratic Formula 2)Use the discriminant to determine the number of solutions for a quadratic equation

Using the quadratic formula is yet another way to solve quadratic equations. The formula – Use the formula below to find the solutions of a quadratic equation in the form

Before we utilize the formula, let’s solve a quadratic equation by factoring. Then we’ll solve the same equation by using the quadratic formula. We should get the same solutions.

Now let’s utilize the quadratic formula! Solve the following equation using the quadratic formula:

Solve each equation by using the quadratic formula. 1)

2)

3)

4)

Try these. 5)6)

The discriminant The discriminant is the expression within the quadratic formula that is The value of the discriminant can be used to determine the number and type of roots of a quadratic equation.

State the value of the discriminant for each quadratic equation. Then determine the number of real roots of the equation. 1)2)

3)4)

Try these. 5)6)

There are times when you will be given a quadratic equation and be asked to solve. It is then up to you to determine which method you would like to use to solve. It is important to be able to distinguish between the different methods, and to know which methods will work all the time, and which methods will only work sometimes.

Time to stretch out and go solve equations!