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Verified Answer :

12 times something cannot equal to 2 unless it is a negative number,is there a negative number included?

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