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Find the discriminant.\newline3t2−6t+9=03t^2 - 6t + 9 = 0

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Full solution

Q. Find the discriminant.\newline3t2−6t+9=03t^2 - 6t + 9 = 0
  1. Identify values: Identify the values of aa, bb, and cc in the quadratic equation 3t2−6t+9=03t^2 - 6t + 9 = 0 by comparing it to the standard form ax2+bx+c=0ax^2 + bx + c = 0.
    a=3a = 3
    b=−6b = -6
    c=9c = 9
  2. Calculate discriminant: Calculate the discriminant using the formula D=b2−4acD = b^2 - 4ac with the identified values of aa, bb, and cc.D=(−6)2−4×3×9D = (-6)^2 - 4 \times 3 \times 9
  3. Simplify calculation: Simplify the discriminant calculation.\newlineD=36−4×3×9D = 36 - 4 \times 3 \times 9\newlineD=36−108D = 36 - 108\newlineD=−72D = -72

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