Question

What is the discriminant D of the equation? 3g² + 15g + 10 = 0

Answer 1

The value of discriminant D for the given equation is 105.

Explanation:

The given equation is

`3g^2+15g+10=0` .... (1)

If a quadratic function is defined as

`ax^2+bx+c=0` .... (2)

then the discriminant D is

`D=b^2-4ac`

On comparing (1) and (2), we get

`a=3,b=15,c=10`

The value of discriminant D is

`D=15^2-4(3)(10)`

`D=225-120`

`D=105`

Therefore the value of discriminant D for the given equation is 105.