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Find the discriminant.\newline9p2−3p+9=09p^2 - 3p + 9 = 0

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Full solution

Q. Find the discriminant.\newline9p2−3p+9=09p^2 - 3p + 9 = 0
  1. Identify values: Identify the values of aa, bb, and cc in the quadratic equation in the form ax2+bx+c=0ax^2 + bx + c = 0. For the equation 9p2−3p+9=09p^2 - 3p + 9 = 0, we have: a=9a = 9 b=−3b = -3 c=9c = 9
  2. Calculate discriminant: Use the discriminant formula D=b2−4acD = b^2 - 4ac to calculate the discriminant of the quadratic equation.\newlineSubstitute the identified values into the formula:\newlineD=(−3)2−4×9×9D = (-3)^2 - 4 \times 9 \times 9
  3. Perform calculations: Perform the calculations to find the value of the discriminant.\newlineD=9−4×9×9D = 9 - 4 \times 9 \times 9\newlineD=9−4×81D = 9 - 4 \times 81\newlineD=9−324D = 9 - 324\newlineD=−315D = -315

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