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Find the discriminant.\newline6t2+9t+3=06t^2 + 9t + 3 = 0

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Full solution

Q. Find the discriminant.\newline6t2+9t+3=06t^2 + 9t + 3 = 0
  1. Identify coefficients: Identify the coefficients of the quadratic equation.\newlineThe quadratic equation is in the form at2+bt+c=0at^2 + bt + c = 0. For the equation 6t2+9t+3=06t^2 + 9t + 3 = 0, the coefficients are:\newlinea = 66\newlineb = 99\newlinec = 33
  2. Calculate discriminant: Calculate the discriminant using the formula D=b2−4acD = b^2 - 4ac.\newlineSubstitute the identified values into the discriminant formula:\newlineD=b2−4acD = b^2 - 4ac\newlineD=(9)2−4(6)(3)D = (9)^2 - 4(6)(3)
  3. Perform calculations: Perform the calculations to find the value of the discriminant.\newlineD=81−4(6)(3)D = 81 - 4(6)(3)\newlineD=81−72D = 81 - 72\newlineD=9D = 9

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