Identify coefficients: Identify the coefficients of the quadratic equation.The quadratic equation is in the form ax2+bx+c=0. For the equation 2q2+7q+2=0, the coefficients are:a=2b=7c=2
Calculate discriminant: Calculate the discriminant using the formula D=b2−4ac. Substitute the identified values into the discriminant formula: D=(7)2−4×2×2
Perform calculations: Perform the calculations to find the value of the discriminant.D=49−4×2×2D=49−16D=33