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Find the discriminant.

3w^(2)-3w-5=0

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Find the discriminant.\newline3w23w5=03w^{2}-3w-5=0\newline\newlineSubmit

Full solution

Q. Find the discriminant.\newline3w23w5=03w^{2}-3w-5=0\newline\newlineSubmit
  1. Identify coefficients: Identify coefficients from the quadratic equation 3w23w5=03w^2 - 3w - 5 = 0. Here, a=3a = 3, b=3b = -3, and c=5c = -5.
  2. Use discriminant formula: Use the discriminant formula for a quadratic equation, which is Δ=b24ac\Delta = b^2 - 4ac. Substitute the values: Δ=(3)243(5)\Delta = (-3)^2 - 4\cdot3\cdot(-5).
  3. Calculate discriminant: Calculate the discriminant. Δ=9+60=69\Delta = 9 + 60 = 69.

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