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Find the discriminant.\newline3s2+6s+3=03s^2 + 6s + 3 = 0

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Full solution

Q. Find the discriminant.\newline3s2+6s+3=03s^2 + 6s + 3 = 0
  1. Identify coefficients: Identify the coefficients aa, bb, and cc from the quadratic equation 3s2+6s+3=03s^2 + 6s + 3 = 0 by comparing it to the standard form ax2+bx+c=0ax^2 + bx + c = 0. Here, a=3a = 3, b=6b = 6, and c=3c = 3.
  2. Recall discriminant formula: Recall the formula for the discriminant of a quadratic equation, which is D=b2−4acD = b^2 - 4ac.
  3. Substitute values: Substitute the identified values into the discriminant formula: D=(6)2−4×3×3D = (6)^2 - 4 \times 3 \times 3.
  4. Calculate discriminant: Calculate the discriminant: D=36−4×3×3D = 36 - 4 \times 3 \times 3.
  5. Simplify calculation: Simplify the calculation: D=36−36D = 36 - 36.
  6. Conclude discriminant: Conclude that the discriminant is D=0D = 0.

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