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Find the discriminant.\newline8s2+5s+8=08s^2 + 5s + 8 = 0

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Full solution

Q. Find the discriminant.\newline8s2+5s+8=08s^2 + 5s + 8 = 0
  1. Identify values: Identify the values of aa, bb, and cc from the quadratic equation.\newlineThe quadratic equation is in the form ax2+bx+c=0ax^2 + bx + c = 0. For the equation 8s2+5s+8=08s^2 + 5s + 8 = 0, we can see that:\newlinea=8a = 8\newlineb=5b = 5\newlinec=8c = 8
  2. Use discriminant formula: Use the discriminant formula D=b2−4acD = b^2 - 4ac to find the discriminant of the quadratic equation.\newlineSubstitute 88 for aa, 55 for bb, and 88 for cc in the formula.\newlineD=(5)2−4×8×8D = (5)^2 - 4 \times 8 \times 8
  3. Calculate discriminant: Calculate the discriminant.\newlineD=25−4×8×8D = 25 - 4 \times 8 \times 8\newlineD=25−256D = 25 - 256\newlineD=−231D = -231

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