Respuesta :

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

[tex]3g^2+15g+10=0[/tex]                .... (1)

If a quadratic function is defined as

[tex]ax^2+bx+c=0[/tex]                    .... (2)

then the discriminant D is

[tex]D=b^2-4ac[/tex]

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

[tex]a=3,b=15,c=10[/tex]

The value of discriminant D is

[tex]D=15^2-4(3)(10)[/tex]

[tex]D=225-120[/tex]

[tex]D=105[/tex]

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