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Answer:
The discriminant determines the nature of the roots of a quadratic equation. The word 'nature' refers to the types of numbers the roots can be — namely real, rational, irrational or imaginary. ... If Δ≥0, the expression under the square root is non-negative and therefore roots are real.
Rational: unequal
Imaginary: not perfect square
Perfect square: irrational
Step-by-step explanation: