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Section 2.7 : Quadratic Equations : A Summary

For problems 1 – 7 use the discriminant to determine the type of roots for the equation. Do not find any roots.

  1. \(25{x^2} - 120x + 619 = 0\)
  2. \(104{x^2} - 75x - 14 = 0\)
  3. \(2{x^2} + 60x + 450 = 0\)
  4. \(\displaystyle \frac{1}{6}{x^2} - 43 = 0\)
  5. \(97 + 136x + 289{x^2} = 0\)
  6. \(10{x^2} - 7x = 0\)
  7. \(\displaystyle \frac{{49}}{9}{x^2} + \frac{{14}}{{15}}x + \frac{1}{{25}} = 0\)