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Find the discriminant.\newline8s2−9s−1=08s^2 - 9s - 1 = 0

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Full solution

Q. Find the discriminant.\newline8s2−9s−1=08s^2 - 9s - 1 = 0
  1. Identify values: Identify the values of aa, bb, and cc from the quadratic equation 8s2−9s−1=08s^2 - 9s - 1 = 0. Compare ax2+bx+c=0ax^2 + bx + c = 0 with 8s2−9s−1=08s^2 - 9s - 1 = 0. a=8a = 8 b=−9b = -9 c=−1c = -1
  2. Compare equations: Use the discriminant formula D=b2−4acD = b^2 - 4ac to find the discriminant of the quadratic equation.\newlineSubstitute 88 for aa, −9-9 for bb, and −1-1 for cc in the formula.\newlineD=(−9)2−4×8×(−1)D = (-9)^2 - 4 \times 8 \times (-1)
  3. Use discriminant formula: Calculate the discriminant.\newlineD=81−(−32)D = 81 - (-32)\newlineD=81+32D = 81 + 32\newlineD=113D = 113

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