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For the quadratic equation x^2 + (8)x + 10 = 0, determine the nature of its roots.

  • one rational and one irrational root
  • no real root
  • two distinct real roots
  • two equal real roots
Correct answer(s):
    • two distinct real roots

For the quadratic equation x^2 + (7)x + 9 = 0, determine the nature of its roots.

  • two equal real roots
  • two distinct real roots
  • no real root
  • one rational and one irrational root
Correct answer(s):
    • two distinct real roots