Quadratic Formula & Discriminant

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Presentation transcript:

Quadratic Formula & Discriminant Mr. Peter Richard will be Teaching you how to discriminate in math. Do not practice discrimination in real life, however. We are all equal.

Discriminant The Discriminant In the quadratic formula, the expression underneath the radical that describes the nature of the roots.

Understanding the discriminant # of real roots 2 real roots 1 real root No real roots 2 Imaginary Roots

Example 1

Example 2 2 Complex or Imaginary Roots!

Using the discriminant Put in Correct Order First!!

Try This One Yourself!

Try This 1, 2!

Recap Of All Three Types 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 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

Assignment Quiz: Page 293-295 # 32, 34, 36, 38, 76 Homework: # 31, 33, 35, 37, 39