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Find the discriminant.\newline4r2+8r+4=04r^2 + 8r + 4 = 0

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Full solution

Q. Find the discriminant.\newline4r2+8r+4=04r^2 + 8r + 4 = 0
  1. Identify values of aa, bb, cc: Identify the values of aa, bb, and cc from the quadratic equation in the form ax2+bx+c=0ax^2 + bx + c = 0. Comparing 4r2+8r+4=04r^2 + 8r + 4 = 0 with ax2+bx+c=0ax^2 + bx + c = 0, we find: a=4a = 4 bb00 bb11
  2. Calculate discriminant formula: Use the discriminant formula D=b2−4acD = b^2 - 4ac to calculate the discriminant of the quadratic equation.\newlineSubstitute 44 for aa, 88 for bb, and 44 for cc into the formula.\newlineD=(8)2−4×4×4D = (8)^2 - 4 \times 4 \times 4
  3. Perform calculations for discriminant: Perform the calculations to find the value of the discriminant.\newlineD=64−4×4×4D = 64 - 4 \times 4 \times 4\newlineD=64−64D = 64 - 64\newlineD=0D = 0

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