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Find the discriminant.\newline2z2+7z−7=02z^2 + 7z - 7 = 0

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Full solution

Q. Find the discriminant.\newline2z2+7z−7=02z^2 + 7z - 7 = 0
  1. Identify coefficients: Identify the coefficients of the quadratic equation.\newlineThe quadratic equation is in the form az2+bz+c=0az^2 + bz + c = 0. For the equation 2z2+7z−7=02z^2 + 7z - 7 = 0, the coefficients are:\newlinea = 22\newlineb = 77\newlinec = −7-7
  2. Calculate discriminant: Calculate the discriminant using the formula D=b2−4acD = b^2 - 4ac.\newlineSubstitute the identified values into the discriminant formula:\newlineD=(7)2−4×2×(−7)D = (7)^2 - 4 \times 2 \times (-7)
  3. Perform calculations: Perform the calculations to find the value of the discriminant.\newlineD=49−4×2×(−7)D = 49 - 4 \times 2 \times (-7)\newlineD=49+56D = 49 + 56\newlineD=105D = 105

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