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Find the discriminant. 9z2+6z+1=09z^2+6z+1=0

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Full solution

Q. Find the discriminant. 9z2+6z+1=09z^2+6z+1=0
  1. Identify coefficients: Identify the coefficients aa, bb, and cc from the equation 9z2+6z+1=09z^2 + 6z + 1 = 0.\newlinea=9a = 9, b=6b = 6, c=1c = 1.
  2. Use discriminant formula: Use the discriminant formula D=b2−4acD = b^2 - 4ac.\newlineSubstitute a=9a = 9, b=6b = 6, and c=1c = 1 into the formula.\newlineD=62−4×9×1D = 6^2 - 4 \times 9 \times 1.
  3. Calculate discriminant: Calculate the discriminant. \newlineD=36−36D = 36 - 36.\newlineD=0D = 0.

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