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# Methods for Solving Quadratic Functions

I have created three videos that cover three common methods for solving Quadratic Equations.

Quick overview of a Quadratic Equation

- Quadratic Equation equals ax^2 +bx+c=0

- Quadratic Equations have two solutions.

Solving Quadratic Equations by Factoring. There are three methods of factoring.

For more information and information on factoring follow this Link: Factoring

Video Guide

**0:17 **Solve m^2 -5m -14 =0 This involves factoring a trinomial with a lead coefficient of 1

**1:48** Solve x^2 -x =12 In order to solve this equation you need to get the 12 all together and the equation equal to 0 then factor

**3:07** Solve 3x^2 + 24x +45 =0

## Method 1. Factoring

## Method 2 Completing the Square

**Video Guide**

0:12 Solve x^2-4x-2x+35

2:17 Solve 2x^2 -12x= -14

**Steps for Completing the Square**

x^2+8x-1=0

**Step 1 **Have all of the x's on the left

x^2+8x=1

**Step 2**. Take "b" and half "b" and then square this number

8/2= 4 4 squared =16

**Step 3.** Add the number from step 2 to both sides of the equation

x^2 + 8x + 16 =17

**Step 4.** Factor using the square root method

√( x+4)^2 =√17

x+4 = ± √17

x= -4 ± √17

## Method 3 Square Root Method

**Video Guide**

0:13 Solve x^2 + 144 =0

1:22 Solve x^2-3=4

1:50 Solve (x-3)^2 =5

2:53 Solve 5(x-4)^2 =325

**Step 1.** x^2-16=0

Isolate x

x^2=16

Use the **square root property**

The square root property involves taking the square root of both sides and then solve for the variable.

**Step 2. **√x^2 =±√16 **Use the ± after isolating x**. This will give you a + and - root

x=√16 x = -√16

Warning: This method will not work with a middle term