Question

Conditions when roots of quadratic equation are real and distinct and negative

Answer 1

Answer:

♤ When the roots are real :

$\tt {b^{2} - 4ac = 0}$

♤ When roots are distinct :

$\tt {b^{2} - 4ac > 0}$

♤ When roots are negative :

$\tt {b^{2} - 4ac < 0}$

Answer 2

A quadratic equation with real coefficients can have either one or two distinct real roots, or two distinct complex roots. In this case the discriminant determines the number and nature of the roots. There are three cases: If the discriminant is positive, then there are two distinct roots.