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March 12 Discriminant

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March 12 Discriminant

  1. 1. The Discriminant
  2. 2. 4x 2 + 3x + 8 = 0 What are the roots? 2 x = -b ± b - 4ac 2a x = -3 ± 3 - 4(4)(8) 2 2(4)
  3. 3. x = -3 ± 3 2 - 4(4)(8) 2(4) x = -3 ± -119 8
  4. 4. 2 x = -b ± b - 4ac 2a Discriminant
  5. 5. is negative = no roots is positive = 2 roots
  6. 6. What happens when the discriminant is 0? =0
  7. 7. 2x 2 - 4x + 2 = 0
  8. 8. is 0 = 1 root is negative = no roots is positive = 2 roots

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