Identify coefficients: Identify the coefficients a, b, and c from the quadratic equations2+5s+1=0 by comparing it to the standard form ax2+bx+c=0. Here, a=1, b=5, and c=1.
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=(5)2−4×1×1.
Perform calculation: Perform the calculation to find the discriminant.D=25−4×1×1D=25−4D=21