Identify coefficients: Identify the coefficients of the quadratic equation.The quadratic equation is in the form av2+bv+c=0. For the equation v2+v+5=0, the coefficients are:a = 1 (coefficient of v2)b = 1 (coefficient of v)c = 5 (constant term)
Calculate discriminant: Calculate the discriminant using the formula D=b2−4ac. Substitute the identified values into the discriminant formula: D=(1)2−4×1×5
Perform calculation: Perform the calculation to find the value of the discriminant.D=1−4×5D=1−20D=−19