Identify coefficients: Identify the coefficients a, b, and c from the quadratic equation3s2+6s+3=0 by comparing it to the standard form ax2+bx+c=0. Here, a=3, b=6, and c=3.
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=(6)2−4×3×3.
Calculate discriminant: Calculate the discriminant: D=36−4×3×3.
Simplify calculation: Simplify the calculation: D=36−36.
Conclude discriminant: Conclude that the discriminant is D=0.