Download presentation

Presentation is loading. Please wait.

Published byLynn McDonald Modified over 3 years ago

1
Solving Quadratic Equations – Part 1 Methods for solving quadratic equations : 1. Taking the square root of both sides ( simple equations ) 2. Factoring 3. Using the Quadratic Formula

2
Solving Quadratic Equations – Part 1 Methods for solving quadratic equations : 1. Taking the square root of both sides ( simple equations ) 2. Factoring 3. Using the Quadratic Formula Let’s look at some simple quadratic equations…

3
Solving Quadratic Equations – Part 1 Methods for solving quadratic equations : 1. Taking the square root of both sides ( simple equations ) 2. Factoring 3. Using the Quadratic Formula Let’s look at some simple quadratic equations… EXAMPLE # 1 : To solve these, we will simply take the square root of both sides…

4
Solving Quadratic Equations – Part 1 Methods for solving quadratic equations : 1. Taking the square root of both sides ( simple equations ) 2. Factoring 3. Using the Quadratic Formula Let’s look at some simple quadratic equations… EXAMPLE # 1 : To solve these, we will simply take the square root of both sides…

5
Solving Quadratic Equations – Part 1 Methods for solving quadratic equations : 1. Taking the square root of both sides ( simple equations ) 2. Factoring 3. Using the Quadratic Formula Let’s look at some simple quadratic equations… EXAMPLE # 1 : All square roots have a positive and negative answer…

6
Solving Quadratic Equations – Part 1 Methods for solving quadratic equations : 1. Taking the square root of both sides ( simple equations ) 2. Factoring 3. Using the Quadratic Formula Let’s look at some simple quadratic equations… EXAMPLE # 1 : All square roots have a positive and negative answer…

7
Solving Quadratic Equations – Part 1 Methods for solving quadratic equations : 1. Taking the square root of both sides ( simple equations ) 2. Factoring 3. Using the Quadratic Formula Let’s look at some simple quadratic equations… EXAMPLE # 2 : To solve, take the square root of both sides…

8
Solving Quadratic Equations – Part 1 Methods for solving quadratic equations : 1. Taking the square root of both sides ( simple equations ) 2. Factoring 3. Using the Quadratic Formula Let’s look at some simple quadratic equations… EXAMPLE # 2 : To solve, take the square root of both sides…

9
Solving Quadratic Equations – Part 1 Factoring – after factoring the equation, we will set each “factor” equal to zero and solve for our variable.

10
Solving Quadratic Equations – Part 1 Factoring – after factoring the equation, we will set each “factor” equal to zero and solve for our variable. EXAMPLE # 3 : Find the solution set for

11
Solving Quadratic Equations – Part 1 Factoring – after factoring the equation, we will set each “factor” equal to zero and solve for our variable. EXAMPLE # 3 : Find the solution set for This is already in factored form, so we will set the two factors = 0 and solve for “x”… 12

12
Solving Quadratic Equations – Part 1 Factoring – after factoring the equation, we will set each “factor” equal to zero and solve for our variable. EXAMPLE # 3 : Find the solution set for This is already in factored form, so we will set the two factors = 0 and solve for “x”… 12

13
Solving Quadratic Equations – Part 1 Factoring – after factoring the equation, we will set each “factor” equal to zero and solve for our variable. EXAMPLE # 3 : Find the solution set for This is already in factored form, so we will set the two factors = 0 and solve for “x”… 12

14
Solving Quadratic Equations – Part 1 Factoring – after factoring the equation, we will set each “factor” equal to zero and solve for our variable. EXAMPLE # 3 : Find the solution set for This is already in factored form, so we will set the two factors = 0 and solve for “x”… 12 These are our two solutions…

15
Solving Quadratic Equations – Part 1 Factoring – after factoring the equation, we will set each “factor” equal to zero and solve for our variable. EXAMPLE # 3 : Find the solution set for This is already in factored form, so we will set the two factors = 0 and solve for “x”… 12 These are our two solutions…solution set is

16
Solving Quadratic Equations – Part 1 Factoring – after factoring the equation, we will set each “factor” equal to zero and solve for our variable. EXAMPLE # 4 : Find the solution set for

17
Solving Quadratic Equations – Part 1 Factoring – after factoring the equation, we will set each “factor” equal to zero and solve for our variable. EXAMPLE # 4 : Find the solution set for We must start by factoring out the common term “x”…

18
Solving Quadratic Equations – Part 1 Factoring – after factoring the equation, we will set each “factor” equal to zero and solve for our variable. EXAMPLE # 4 : Find the solution set for Now set each factor = 0 and solve for “x”…

19
Solving Quadratic Equations – Part 1 Factoring – after factoring the equation, we will set each “factor” equal to zero and solve for our variable. EXAMPLE # 4 : Find the solution set for Now set each factor = 0 and solve for “x”… Solution set =

20
Solving Quadratic Equations – Part 1 Factoring – after factoring the equation, we will set each “factor” equal to zero and solve for our variable. EXAMPLE # 5 : Find the solution set for

21
Solving Quadratic Equations – Part 1 Factoring – after factoring the equation, we will set each “factor” equal to zero and solve for our variable. EXAMPLE # 5 : Find the solution set for Factor difference of squares…

22
Solving Quadratic Equations – Part 1 Factoring – after factoring the equation, we will set each “factor” equal to zero and solve for our variable. EXAMPLE # 5 : Find the solution set for Set both factors = 0 and solve for “x”…

23
Solving Quadratic Equations – Part 1 Factoring – after factoring the equation, we will set each “factor” equal to zero and solve for our variable. EXAMPLE # 5 : Find the solution set for Set both factors = 0 and solve for “x”… Solution set =

24
Solving Quadratic Equations – Part 1 Factoring – after factoring the equation, we will set each “factor” equal to zero and solve for our variable. EXAMPLE # 6 : Find the solution set for

25
Solving Quadratic Equations – Part 1 Factoring – after factoring the equation, we will set each “factor” equal to zero and solve for our variable. EXAMPLE # 6 : Find the solution set for Factor trinomial with coefficient = 1

26
Solving Quadratic Equations – Part 1 Factoring – after factoring the equation, we will set each “factor” equal to zero and solve for our variable. EXAMPLE # 6 : Find the solution set for Set both factors = 0 and solve for “x”…

27
Solving Quadratic Equations – Part 1 Factoring – after factoring the equation, we will set each “factor” equal to zero and solve for our variable. EXAMPLE # 7 : Find the solution set for

28
Solving Quadratic Equations – Part 1 Factoring – after factoring the equation, we will set each “factor” equal to zero and solve for our variable. EXAMPLE # 7 : Find the solution set for Factor trinomial with squared coefficient >1

29
Solving Quadratic Equations – Part 1 Factoring – after factoring the equation, we will set each “factor” equal to zero and solve for our variable. EXAMPLE # 7 : Find the solution set for Set both factors = 0 and solve for “x”…

Similar presentations

© 2020 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google