Quadratic Formula & Discriminant

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Presentation transcript:

Quadratic Formula & Discriminant

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: Homework: