Question

what is nature of roots​

Answer 1

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. ... \(Δ\) is the square of a rational number: the roots are rational.

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Answer 2

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 \(Δ \geq 0\), the expression under the square root is non-negative and therefore roots are real.