Answer:
![D=96](https://img.qammunity.org/2020/formulas/mathematics/high-school/vd1d6nuftao6q778attta5gixr2chaxx6c.png)
Explanation:
You must add 2 to both sides of the equation:
![3x^2-10+2=-2+2\\3x^2-8=0](https://img.qammunity.org/2020/formulas/mathematics/high-school/9j27yxkxn4wrflk97hohz45qvn8mp6k0dj.png)
You can find the discriminant of the quadratic equation given in the problem with the formula shown below:
![D=b^2-4ac](https://img.qammunity.org/2020/formulas/mathematics/middle-school/m6hc4jrsclve3ufwkeqspgpvwrc0ui7ewj.png)
Based on the given equation, you have that:
![a=3\\b=0\\c=-8](https://img.qammunity.org/2020/formulas/mathematics/high-school/yydzp1ruyp2nfcs7it8ts7wjeztclwi637.png)
Susbstitute values. Then you obtain:
![D=0^2-4(3)(-8)=96](https://img.qammunity.org/2020/formulas/mathematics/high-school/ob42cj12pt2ticl5k7rmsfh4yjk9t8olch.png)