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Find the discriminant.\newline2x2+9x+3=02x^2 + 9x + 3 = 0

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Full solution

Q. Find the discriminant.\newline2x2+9x+3=02x^2 + 9x + 3 = 0
  1. Identify coefficients: Identify the coefficients aa, bb, and cc from the quadratic equation 2x2+9x+3=02x^2 + 9x + 3 = 0 by comparing it to the standard form ax2+bx+c=0ax^2 + bx + c = 0. Here, a=2a = 2, b=9b = 9, 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=(9)2−4×2×3D = (9)^2 - 4 \times 2 \times 3.
  4. Calculate discriminant: Calculate the discriminant: D=81−24D = 81 - 24.
  5. Finish calculation: Finish the calculation: D=57D = 57.

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