1 / 8

Quadratic Formula & Discriminant

Quadratic Formula & Discriminant. Vocabulary. Discriminant - tells you how many solutions and what type you will have. If the discriminant is positive – 2 real solutions negative – 2 imaginary solutions zero – 1 real solution. Formulas. Discriminant: b 2 -4ac

scoleman
Download Presentation

Quadratic Formula & Discriminant

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Quadratic Formula & Discriminant

  2. Vocabulary • Discriminant - tells you how many solutions and what type you will have. • If the discriminant is • positive – 2 real solutions • negative – 2 imaginary solutions • zero – 1 real solution

  3. Formulas • Discriminant: b2-4ac • Quadratic formula – it is on the EOCT formula sheet Notice where the discriminant is in the quadratic formula!

  4. Find the discriminant and give the number and type of solutions. 9x2+6x+1=0 a=9, b=6, c=1 b2-4ac=(6)2-4(9)(1) =36-36=0 1 real solution 9x2+6x-4=0 a=9, b=6, c=-4 b2-4ac=(6)2-4(9)(-4) =36+144=180 2 real solutions c. 9x2+6x+5=0 a=9, b=6, c=5 b2-4ac=(6)2-4(9)(5) =36-180=-144 2 imaginary solutions Examples

  5. Using the quadratic formula • Make equation say = 0 • Find the discriminant, take its square root • Plug a, b, c, and discriminant into formula • simplify

  6. Examples - solve • 3x2+8x=35 3x2+8x-35=0 a=3, b=8, c= -35 OR

  7. -2x2=-2x+3 -2x2+2x-3=0 a=-2, b=2, c= -3

  8. 3. 4x2+10x=-10x-25 4x2+20x+25=0 a=4, b=20, c=25

More Related