Identify coefficients: Identify the coefficients a, b, and c from the quadratic equation6q2−6q+6=0 by comparing it to the standard form ax2+bx+c=0. Here, a=6, b=−6, and c=6.
Recall discriminant formula: Recall the formula for the discriminant of a quadratic equation, which is D=b2−4ac.
Substitute values: Substitute the identified values into the discriminant formula: D=(−6)2−4⋅6⋅6.
Calculate discriminant: Calculate the discriminant: D=36−4×6×6.
Perform multiplication and subtraction: Perform the multiplication and subtraction: D=36−144.
Complete calculation: Complete the calculation: D=−108.