jess3219 jess3219
  • 07-11-2020
  • Mathematics
contestada

The discriminant of a quadartic equation is 40. What is the nature of the solutions?

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jimthompson5910 jimthompson5910
  • 07-11-2020

Since the discriminant is positive, this means we have two distinct real solutions.

If a, b, and c are rational numbers, then a discriminant of D = 40 indicates the two solutions are not rational. We would need D to be a perfect square to get two rational solutions.

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