Question

Explain the nature of roots of each with 2 examples. D>0. D<0, D =0,

Answer 1

Answer:

If D > 0, then the roots are real and distinct.

Examples include :-  x² + 6x + 1 and x² + 7x + 2

If D = 0, then the roots are also real but identical.

Examples include :- 2x² + 4x + 2 (or x² + 2x + 1) and x² + 6x + 9

If D < 0, then there are no real roots (root don't exist).

Examples include :- 2x² + x + 7 and 3x² + 2x + 13.