Verified Answer :

the discriminant D of the equation 3g² + 15g + 10 = 0
for a quadratic equation   ax²+bx+c=0
the discriminant D is D= b²-4xaxc
 so for 
 3g² + 15g + 10 = 0 D=15²- 4x3x10=125-120=5, so D=5

Answer:

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

Step-by-step 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.