Identify coefficients: Identify the coefficients a, b, and c from the quadratic equation3w2−3w+8=0 by comparing it to the standard form ax2+bx+c=0. Here, a=3, b=−3, and c=8.
Calculate discriminant: Use the discriminant formula D=b2−4ac to calculate the discriminant of the quadratic equation.Substitute the identified values into the formula: D=(−3)2−4×3×8.
Perform calculations: Perform the calculations to find the discriminant.D=9−4×3×8D=9−96D=−87