Question

ln aquadratic equation ax2+bx+c=0 which
is going to determine the nature
of roots. what is its name​

Answer 1

Answer:

As the value of b2 - 4ac determines the nature of roots (solution), b2 - 4ac is called the discriminant of the quadratic equation. Definition of discriminant: For the quadratic equation ax2 + bx + c =0, a ≠ 0; the expression b2 - 4ac is called discriminant and is, in general, denoted by the letter 'D'.

To determine the nature of roots of quadratic equations (in the form ax^2 + bx +c=0) , we need to caclulate the discriminant, which is b^2 - 4 a c. When discriminant is greater than zero, the roots are unequal and real. When discriminant is equal to zero, the roots are equal and real.