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Find the discriminant.\newlinep2+4p+4=0p^2 + 4p + 4 = 0

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Full solution

Q. Find the discriminant.\newlinep2+4p+4=0p^2 + 4p + 4 = 0
  1. Identify values: Identify the values of aa, bb, and cc by comparing the given equation p2+4p+4=0p^2 + 4p + 4 = 0 with the standard quadratic equation form ax2+bx+c=0ax^2 + bx + c = 0. Here, a=1a = 1, b=4b = 4, and c=4c = 4.
  2. Use discriminant formula: Use the discriminant formula D=b2−4acD = b^2 - 4ac to find the discriminant of the quadratic equation.\newlineSubstitute 11 for aa, 44 for bb, and 44 for cc in the formula.\newlineD=(4)2−4×1×4D = (4)^2 - 4 \times 1 \times 4
  3. Calculate discriminant: Calculate the discriminant.\newlineD=16−4×1×4D = 16 - 4 \times 1 \times 4\newlineD=16−16D = 16 - 16\newlineD=0D = 0

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