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Find the discriminant.\newline3p2+2p+6=03p^2 + 2p + 6 = 0

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Full solution

Q. Find the discriminant.\newline3p2+2p+6=03p^2 + 2p + 6 = 0
  1. Identify values: Identify the values of aa, bb, and cc in the quadratic equation 3p2+2p+6=03p^2 + 2p + 6 = 0 by comparing it to the standard form ax2+bx+c=0ax^2 + bx + c = 0.
    a=3a = 3
    b=2b = 2
    c=6c = 6
  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=22−4×3×6D = 2^2 - 4 \times 3 \times 6
  3. Simplify calculation: Simplify the discriminant calculation.\newlineD=4−4×3×6D = 4 - 4 \times 3 \times 6\newlineD=4−72D = 4 - 72\newlineD=−68D = -68

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