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Find the discriminant.\newline3u2−8u+4=03u^2 - 8u + 4 = 0

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Full solution

Q. Find the discriminant.\newline3u2−8u+4=03u^2 - 8u + 4 = 0
  1. Identify coefficients: Identify the coefficients aa, bb, and cc from the quadratic equation 3u2−8u+4=03u^2 - 8u + 4 = 0. Comparing the equation to the standard form ax2+bx+c=0ax^2 + bx + c = 0, we find: a=3a = 3 b=−8b = -8 c=4c = 4
  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=(−8)2−4×3×4D = (-8)^2 - 4 \times 3 \times 4
  3. Find value of discriminant: Perform the calculations to find the value of the discriminant.\newlineD=64−4×3×4D = 64 - 4 \times 3 \times 4\newlineD=64−48D = 64 - 48\newlineD=16D = 16

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