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Find the discriminant.\newline8q2−9q+6=08q^2 - 9q + 6 = 0

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Full solution

Q. Find the discriminant.\newline8q2−9q+6=08q^2 - 9q + 6 = 0
  1. Identify coefficients: Identify the coefficients aa, bb, and cc from the quadratic equation 8q2−9q+6=08q^2 - 9q + 6 = 0 by comparing it to the standard form ax2+bx+c=0ax^2 + bx + c = 0.
    a=8a = 8, b=−9b = -9, c=6c = 6
  2. Recall formula: Recall the formula for the discriminant of a quadratic equation, which is D=b2−4acD = b^2 - 4ac.
  3. Substitute values: Substitute the identified values into the discriminant formula: D=(−9)2−4⋅8⋅6D = (-9)^2 - 4 \cdot 8 \cdot 6.
  4. Calculate discriminant: Calculate the discriminant: D=81−192D = 81 - 192.
  5. Finish calculation: Finish the calculation: D=81−192=−111D = 81 - 192 = -111.

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