Question

Write all Nature of roots ? Give two examples each​

Answer 1

Step-by-step explanation:

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.

Example 1: Discuss the nature of the roots of the quadratic equation 2x2 – 8x + 3 = 0. Clearly, the discriminant of the given quadratic equation is positive but not a perfect square. Therefore, the roots of the given quadratic equation are real, irrational and unequal.

Answer 2

Answer:

This is the expression under the square root in the quadratic formula. 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.