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Find the discriminant.\newlines2−s+8=0s^2 - s + 8 = 0

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Full solution

Q. Find the discriminant.\newlines2−s+8=0s^2 - s + 8 = 0
  1. Identify coefficients: Identify the coefficients aa, bb, and cc from the quadratic equation s2−s+8=0s^2 - s + 8 = 0 by comparing it to the standard form ax2+bx+c=0ax^2 + bx + c = 0. Here, a=1a = 1, b=−1b = -1, 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=(−1)2−4×1×8D = (-1)^2 - 4 \times 1 \times 8.
  3. Perform calculation: Perform the calculation for the discriminant.\newlineD=1−4×1×8D = 1 - 4 \times 1 \times 8\newlineD=1−32D = 1 - 32\newlineD=−31D = -31

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