Identify coefficients: Identify the coefficients of the quadratic equation.The quadratic equation is in the form ax2+bx+c=0. For the equation 2x2−9x−8=0, the coefficients are:a = 2b = −9c = −8
Calculate discriminant: Calculate the discriminant using the formula D=b2−4ac. Substitute the identified values into the formula: D=(−9)2−4×2×(−8)
Perform calculations: Perform the calculations to find the value of the discriminant.D=81−(−64)D=81+64D=145