Answer:
The discriminant of the given equation is 60
Step-by-step explanation:
[tex]\text{Given the equation }3x^2+6x=2[/tex]
we have to find the discriminant of above equation.
[tex]Equation:\thinspace 3x^2+6x-2=0[/tex]
[tex]\text{Comparing above equation with general quadratic equation }ax^2+bx+c=0[/tex]
a=3, b=6 and c=-2
The discriminant can be calculated by the formula
[tex]D=b^2-4ac[/tex]
[tex]D=6^2-4(3)(-2)[/tex]
[tex]D=36+24=60[/tex]
Hence, the discriminant of the given equation is 60
