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Find the discriminant.\newlineu2+2u+1=0u^2 + 2u + 1 = 0

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Full solution

Q. Find the discriminant.\newlineu2+2u+1=0u^2 + 2u + 1 = 0
  1. Identify values of aa, bb, cc: Identify the values of aa, bb, and cc by comparing the given equation u2+2u+1=0u^2 + 2u + 1 = 0 with the standard quadratic equation form ax2+bx+c=0ax^2 + bx + c = 0. Here, a=1a = 1, b=2b = 2, and bb00.
  2. Calculate discriminant formula: Use the discriminant formula D=b2−4acD = b^2 - 4ac to calculate the discriminant of the quadratic equation.\newlineSubstitute 11 for aa, 22 for bb, and 11 for cc into the formula.
  3. Perform calculation for discriminant: Perform the calculation for the discriminant.\newlineD=(2)2−4×1×1D = (2)^2 - 4 \times 1 \times 1\newlineD=4−4D = 4 - 4\newlineD=0D = 0

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