Answer:
The correct option is 4. The value of discriminant is 60.
Step-by-step explanation:
The given equation is
[tex]3x^2+6x=2[/tex]
It can be written as
[tex]3x^2+6x-2=0[/tex]
If a quadratic equation is in the form of
[tex]ax^2+bx+c=0[/tex]
then, it discriminant is
[tex]D=b^2-4ac[/tex]
The value of discriminant for given equation is
[tex]D=(6)^2-4(3)(-2)[/tex]
[tex]D=36-(-24)[/tex]
[tex]D=36+24[/tex]
[tex]D=60[/tex]
Therefore correct option is 4. The value of discriminant is 60.