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Find the discriminant.\newline2w2+3w+4=02w^2 + 3w + 4 = 0

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Full solution

Q. Find the discriminant.\newline2w2+3w+4=02w^2 + 3w + 4 = 0
  1. Identify coefficients: Identify the coefficients aa, bb, and cc from the quadratic equation 2w2+3w+4=02w^2 + 3w + 4 = 0 by comparing it to the standard form ax2+bx+c=0ax^2 + bx + c = 0. Here, a=2a = 2, b=3b = 3, and c=4c = 4.
  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)2−4×2×4D = (3)^2 - 4 \times 2 \times 4.
  3. Perform calculations: Perform the calculations to find the discriminant.\newlineD=9−4×2×4D = 9 - 4 \times 2 \times 4\newlineD=9−32D = 9 - 32\newlineD=−23D = -23

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