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Find the discriminant.\newline8z2+8z+2=08z^2 + 8z + 2 = 0

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Full solution

Q. Find the discriminant.\newline8z2+8z+2=08z^2 + 8z + 2 = 0
  1. Identify coefficients: Identify the coefficients aa, bb, and cc from the quadratic equation 8z2+8z+2=08z^2 + 8z + 2 = 0 by comparing it to the standard form ax2+bx+c=0ax^2 + bx + c = 0.\newlinea=8a = 8\newlineb=8b = 8\newlinec=2c = 2
  2. Calculate discriminant: Use the discriminant formula D=b2−4acD = b^2 - 4ac to calculate the discriminant of the quadratic equation.\newlineSubstitute the identified values into the formula:\newlineD=82−4×8×2D = 8^2 - 4 \times 8 \times 2
  3. Find value: Perform the calculations to find the value of the discriminant.\newlineD=64−4×8×2D = 64 - 4 \times 8 \times 2\newlineD=64−64D = 64 - 64\newlineD=0D = 0

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