Question

What is discriminant?
Explain in detail.

Thanks

Answer 1

Let a polynomial be
ax^2+bx+c=0
Now discriminant (D) decides how will be the nature of roots of the quadratic equation
D= b^2-4ac

If D>0 2 real roots
D<0 no real roots
D=0 two equal roots

Answer 2

Hey friend, Harish here.

Here is your answer.

We generally represent a quadratic expression as ax² + bx + c. 

We can find the roots of the quadratic equation with a formula. That is:

$If\ ax^2 +bx + c = 0 ,\ then \ x = \frac{-b \± \sqrt{b^2 -4ac} }{2a} .$

In this formula, b² - 4ac is know as the Discriminant. This helps in deciding the nature of the roots. It is denoted by the letter D.

If D = 0. The roots are real and equal.

If D > 0 .The roots are real but not equal.

If D < 0 .The roots are imaginary. 
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Hope my answer is helpful to you.