1. Class Greeting

2. Chapter 10 Quadratic Equations and Functions
Lesson 10-1a
Solving Quadratic Equations by
Factoring and using the Square Root Property

3. Objective: Students will solve quadratic equations by factoring and by using the square root property.

4. Solving Quadratic Equations by Factoring

5. Solve Then check the solutions.
– 4y = 0
4y(3y – 1) = 0
3y – 1 = 0 or
Answer: y = 0, 3
Example 2-5a

6. Solve = 0 = (2xy -2y) + (7x – 7) = 0 = 0 = 0
Answer: y = and x = 1
Example 2-2a

7. Solve by grouping.
a = 15 and c = –8 therefore ac = –120
What 2 numbers multiply to make -120 and add to make –14?
6 and –20
Replace -14b with 6b – 20b
Group
15b2 + 6b – 20b – 8 = 0
(15b2 + 6b) – 1(20b + 8) = 0
3b(5b + 2) – 4(5b + 2) = 0 6b
–20b
–14b TRUE

8. Now that the equation is factored, SOLVE IT.
Answer: The solution set is
b =
Check your answers.
Example 4-4a

9. The Square Root Property

10. The solutions are x = 3 and x = - 3 .
Solve 4x2 = 12 by the Square Root Property.
x2 = 3
𝑥 2 = 3
x = ± 3
The solutions are x = 3 and x =
Check these in the original equation.

11. Solve (3x + 5)2 – 16 = 0 by the Square Root Property.
𝑥=− 5 3 ± 4 3
The solutions are x = and x = -3.
Check these in the original equation.

12. Lesson Summary: Objective: Students will solve quadratic equations by factoring and by using the square root property.

13. Preview of the next Lesson: Objective: Students will solve word problems by solving quadratic equations by factoring and using the square root property.

14. Homework
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15. Stand Up Please