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Find the discriminant.\newline3w2−3w+8=03w^2 - 3w + 8 = 0

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Full solution

Q. Find the discriminant.\newline3w2−3w+8=03w^2 - 3w + 8 = 0
  1. Identify coefficients: Identify the coefficients aa, bb, and cc from the quadratic equation 3w2−3w+8=03w^2 - 3w + 8 = 0 by comparing it to the standard form ax2+bx+c=0ax^2 + bx + c = 0. Here, a=3a = 3, b=−3b = -3, and c=8c = 8.
  2. Calculate discriminant: Use the discriminant formula D=b2−4acD = b^2 - 4ac to calculate the discriminant of the quadratic equation.\newlineSubstitute the identified values into the formula: D=(−3)2−4×3×8D = (-3)^2 - 4 \times 3 \times 8.
  3. Perform calculations: Perform the calculations to find the discriminant.\newlineD=9−4×3×8D = 9 - 4 \times 3 \times 8\newlineD=9−96D = 9 - 96\newlineD=−87D = -87

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