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Find the discriminant.\newline6z2+5z+1=06z^2 + 5z + 1 = 0

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Full solution

Q. Find the discriminant.\newline6z2+5z+1=06z^2 + 5z + 1 = 0
  1. Identify values: Identify the values of aa, bb, and cc in the quadratic equation 6z2+5z+1=06z^2 + 5z + 1 = 0 by comparing it to the standard form ax2+bx+c=0ax^2 + bx + c = 0.
    a=6a = 6
    b=5b = 5
    c=1c = 1
  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=52−4×6×1D = 5^2 - 4 \times 6 \times 1
  3. Perform calculations: Perform the calculations to find the value of the discriminant.\newlineD=25−4×6×1D = 25 - 4 \times 6 \times 1\newlineD=25−24D = 25 - 24\newlineD=1D = 1

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