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What is the discriminant of the quadratic equation 
-5x^(2)-6x-9=0 ?
144
216

-144

-216

What is the discriminant of the quadratic equation 5x26x9=0 -5 x^{2}-6 x-9=0 ?\newline144144\newline216216\newline144 -144 \newline216 -216

Full solution

Q. What is the discriminant of the quadratic equation 5x26x9=0 -5 x^{2}-6 x-9=0 ?\newline144144\newline216216\newline144 -144 \newline216 -216
  1. Identify Coefficients: The discriminant of a quadratic equation ax2+bx+c=0ax^2 + bx + c = 0 is given by the formula D=b24acD = b^2 - 4ac. We need to identify the coefficients aa, bb, and cc from the given quadratic equation and then calculate the discriminant.
  2. Substitute Values: Identify the coefficients from the quadratic equation 5x26x9=0-5x^2 - 6x - 9 = 0. Here, a=5a = -5, b=6b = -6, and c=9c = -9.
  3. Calculate Discriminant: Substitute the values of aa, bb, and cc into the discriminant formula D=b24acD = b^2 - 4ac. So, D=(6)24(5)(9)D = (-6)^2 - 4(-5)(-9).
  4. Calculate Discriminant: Substitute the values of aa, bb, and cc into the discriminant formula D=b24acD = b^2 - 4ac. So, D=(6)24(5)(9)D = (-6)^2 - 4(-5)(-9).Calculate the discriminant: D=364(5)(9)=36180=144D = 36 - 4(5)(9) = 36 - 180 = -144.

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