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Find the discriminant.\newline2s2+8s+8=02s^2 + 8s + 8 = 0

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Full solution

Q. Find the discriminant.\newline2s2+8s+8=02s^2 + 8s + 8 = 0
  1. Identify coefficients: Identify the coefficients of the quadratic equation.\newlineThe quadratic equation is in the form as as2+bs+c=0a s^2 + b s + c = 0. For the equation 2s2+8s+8=02s^2 + 8s + 8 = 0, the coefficients are:\newlinea = 22\newlineb = 88\newlinec = 88
  2. Calculate discriminant: Calculate the discriminant using the formula D=b2−4acD = b^2 - 4ac.\newlineSubstitute the identified values into the discriminant formula:\newlineD=b2−4acD = b^2 - 4ac\newlineD=(8)2−4×2×8D = (8)^2 - 4 \times 2 \times 8
  3. Simplify calculation: Simplify the discriminant calculation.\newlineD=64−4×2×8D = 64 - 4 \times 2 \times 8\newlineD=64−64D = 64 - 64\newlineD=0D = 0

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