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Find the discriminant.\newline6z2+2z+1=06z^2 + 2z + 1 = 0

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Full solution

Q. Find the discriminant.\newline6z2+2z+1=06z^2 + 2z + 1 = 0
  1. Identify values of aa, bb, cc: Identify the values of aa, bb, and cc in the quadratic equation 6z2+2z+1=06z^2 + 2z + 1 = 0 by comparing it to the standard form ax2+bx+c=0ax^2 + bx + c = 0.\newlinea=6a = 6\newlineb=2b = 2\newlinebb00
  2. Calculate discriminant: Calculate the discriminant using the formula D=b2−4acD = b^2 - 4ac with the values of aa, bb, and cc identified in the previous step.\newlineD=22−4×6×1D = 2^2 - 4 \times 6 \times 1
  3. Simplify calculation: Simplify the discriminant calculation. \newlineD=4−24D = 4 - 24\newlineD=−20D = -20

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