Learning Objectives:

__Applications of Quadratic Equations __

There are different methods to solve **QuadraticEquations**.

1. **Graphing**: zeros can be found where the **quadratic equation** crosses the x-axis {x-intercepts).

2. **Factoring**: use the steps for factoring to break down a **quadratic **expression into factors.

3. **Quadratic Formula**: use the formula to find the roots of a **quadratic equation**.

The most common use of the **quadratic equation** in real world situations is in the aiming of missiles and other artillery by military forces. Parabolas are also used in business, engineering and physics. Engineers use the **quadratic equation** along with other advanced types of math when making their designs. Automotive, chemical, electrical and even audio engineers all use this method. In business when product developers create a new item to sell, they use the **quadratic **formula to create a demand curve and use it to determine the optimal price to sell the units to maximize profits.

**Hook Questions**

*1. **How can quadratic equations be used in real-life situations?*

*2. **What are the different methods for solving quadratic equations?*

*3. **What are some examples of real life uses of quadratic equations?*

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