Learning Objectives:

__Solving a Quadratic Equation by Completing the Square__

The basic form of a **second degree equation** is given by **ax² + b x + c = 0.** Where, **a = coefficient of x², b = coefficient of x, c = constant** and** x** is the variable. **Quadratic equation** is also called as **second degree equation.** A **quadratic equation** has two solutions either two distinct real solutions, one double real solution or two non-real solutions. **Completing the Square** is a technique which is used to **solve quadratic equations, graph quadratic functions, and evaluate integrals**. This technique can be used when factoring a **quadratic equation** does not work or we need to find **irrational** and **complex roots**. To solve the quadratic equation we need to follow these steps.

Step 1: Divide all terms by a (the **coefficient of x ^{2}**).

Step 2: Move the number term (**c/a**) to the right side of the equation.

Step 3: Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.

**Hook Questions**

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*1. **What does completing the square mean?*

*2. **What is the quadratic equation?*

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