1. 𝑥= −𝑏± 𝑏 2 −4𝑎𝑐 2𝑎
Quadratic Formula!

2. Do Now: Solve the formula −𝑏± 𝑏 2 −4𝑎𝑐 2𝑎 for the given values.
b = 5
c = 4
a = -1
b = 3
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6. Deep Breath

7. What we know about quadratics so far – a lot!
Standard Form
Vertex Form
Factored Form
Completing the Square
Factoring
Graphing Quadratics

8. 𝑥= −𝑏± 𝑏 2 −4𝑎𝑐 2𝑎 RWA  Dolphin Jumping
𝑥= −𝑏± 𝑏 2 −4𝑎𝑐 2𝑎

9. Uses of Quadratic Formula
𝑥= −𝑏± 𝑏 2 −4𝑎𝑐 2𝑎
To find the roots of a quadratic function.
To check your answer if you used another method
When you have a function that can’t be factored
When you don’t feel like completing the square
When a ≠1
When to use Quadratic Formula

10. Quadratic Formula
𝑥= −𝑏± 𝑏 2 −4𝑎𝑐 2𝑎

11. Quadratic Formula Song
Don’t stop believing:
Instrumental:
Rap:
𝑥= −𝑏± 𝑏 2 −4𝑎𝑐 2𝑎

12. Steps on using the quadratic formula
𝑥= −𝑏± 𝑏 2 −4𝑎𝑐 2𝑎
Make sure function is in standard form, if not, put it in standard form by moving all terms to one side.
Define your a, b, and c.
Plug values into formula and solve  be careful using the calculator.
*Calculator rules of thumb*
---Always put parentheses around numbers when plugging them in.
---Be careful with your parentheses  don’t forget to close them.

13. Let’s try it!

14. Exit Ticket
Find the solutions of 2 𝑥 2 +2𝑥+9=5 using the quadratic formula.