Identify coefficients: Identify the coefficients a, b, and c from the quadratic equation5s2+6s−1=0 by comparing it to the standard form ax2+bx+c=0. In this case, a=5, b=6, and c=−1.
Recall discriminant formula: Recall the formula for the discriminant of a quadratic equation, which is D=b2−4ac.
Substitute values: Substitute the identified values into the discriminant formula: D=62−4×5×(−1).
Calculate discriminant: Calculate the discriminant: D=36−4×5×(−1)=36+20=56.