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Find the discriminant.\newline4t2−9t+2=04t^2 - 9t + 2 = 0

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Full solution

Q. Find the discriminant.\newline4t2−9t+2=04t^2 - 9t + 2 = 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 4t2−9t+2=04t^2 - 9t + 2 = 0, the coefficients are:\newlinea = 44\newlineb = −9-9\newlinec = 22
  2. Calculate discriminant: Calculate the discriminant using the formula D=b2−4acD = b^2 - 4ac. Substitute the identified values into the formula: D=(−9)2−4×4×2D = (-9)^2 - 4 \times 4 \times 2
  3. Perform calculations: Perform the calculations to find the value of the discriminant. D=81−32D = 81 - 32 D=49D = 49

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