Identify coefficients: Identify the coefficients of the quadratic equation.The quadratic equation is in the form av2+bv+c=0. For the equation 6v2−9v+2=0, the coefficients are:a = 6b = −9c = 2
Calculate discriminant: Calculate the discriminant using the formula D=b2−4ac.Substitute the identified values into the discriminant formula:D=(−9)2−4×6×2
Perform calculations: Perform the calculations to find the value of the discriminant.D=81−(4×6×2)D=81−48D=33