Question

Explain the benefits of evaluating the discriminant of a quadratic equation before attempting to solve it.

Answer 1

Answer: it signifies whether the roots are equal to 0 less or more than 0.

Step-by-step explanation:

Answer 2

Before solving any Quadratic equation if we

first calculate the value of Discriminate,then

we easily found the nature of roots of that

equation.

To find nature of roots, first calculate

Determinant D.

D = 


here a,b and c are the coefficient of x^2,x and

constant term respectively, you can find these

values by comparing given equation by

standard Quadratic equation.

Significance:
➖➖➖➖➖

1) D = 0; roots are real and equal

and given by 


2) D >0; roots are real and distinct

given by


3) D <0; No real roots exists

Hope it helps you.