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Find the discriminant.\newline7s2−7s−1=07s^2 - 7s - 1 = 0

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Full solution

Q. Find the discriminant.\newline7s2−7s−1=07s^2 - 7s - 1 = 0
  1. Identify coefficients: Identify the coefficients of the quadratic equation.\newlineThe quadratic equation is in the form as2+bs+c=0as^2 + bs + c = 0. For the equation 7s2−7s−1=07s^2 - 7s - 1 = 0, the coefficients are:\newlinea=7a = 7\newlineb=−7b = -7\newlinec=−1c = -1
  2. Calculate discriminant: Calculate the discriminant using the formula D=b2−4acD = b^2 - 4ac. Substitute the identified values into the formula: D=(−7)2−4×7×(−1)D = (-7)^2 - 4 \times 7 \times (-1)
  3. Perform calculations: Perform the calculations to find the discriminant.\newlineD=49−(−28)D = 49 - (-28)\newlineD=49+28D = 49 + 28\newlineD=77D = 77

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