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