Warm Up 4 5 Quadratic Formula Discriminant Types
- Slides: 19
Warm Up:
4 -5 Quadratic Formula Discriminant & Types of Solutions
You can solve a quadratic by using a Formula O Discriminant: b 2 -4 ac O Quadratic formula Notice where the discriminant is in the quadratic formula!
How do you find the discriminant? O
How do you find the discriminant? O
What does the discriminant of a quadratic equation tell us about the solutions? When: D > 0 (positive) 2 real solutions Number: Type: 2 Real
What does the discriminant of a quadratic equation tell us about the solutions? When: D=0 1 real solution Number: Type: 1 Real
What does the discriminant of a quadratic equation tell us about the solutions? When: D < 0 (negative) NO real solutions OR Number: 2 Type: Imaginary
Solutions are also called: Roots or Zeroes
Find the Discriminant & the number and type of solutions
Find the Discriminant & the number and type of solutions O
How many solutions? What type? If it’s a graph, you can also find the solutions without doing any calculations! What are the solutions?
Solve a quadratic by using a Formula
You can solve a quadratic by using a Formula O Discriminant: b 2 -4 ac O Quadratic formula Notice where the discriminant is in the quadratic formula!
The Quadratic Formula Solve using Quadratic Formula
Using the Quadratic Formula 2 x 2 - 3 x + 5 = 0 or
Using the Quadratic Formula First, put in standard form 2 x 2 – x = -2 2 x 2 – x + 2=0
Using the Quadratic Formula 3 x 2 – 8 x + 10 = 3 or split into 2 fractions and simplify.