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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 −5x2−6x−9=0 -5 x^{2}-6 x-9=0 ?\newline144144\newline216216\newline−144 -144 \newline−216 -216

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Q. What is the discriminant of the quadratic equation −5x2−6x−9=0 -5 x^{2}-6 x-9=0 ?\newline144144\newline216216\newline−144 -144 \newline−216 -216
  1. Identify Coefficients: The discriminant of a quadratic equation ax2+bx+c=0ax^2 + bx + c = 0 is given by the formula D=b2−4acD = 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 −5x2−6x−9=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=b2−4acD = b^2 - 4ac. So, D=(−6)2−4(−5)(−9)D = (-6)^2 - 4(-5)(-9).
  4. Calculate Discriminant: Substitute the values of aa, bb, and cc into the discriminant formula D=b2−4acD = b^2 - 4ac. So, D=(−6)2−4(−5)(−9)D = (-6)^2 - 4(-5)(-9).Calculate the discriminant: D=36−4(5)(9)=36−180=−144D = 36 - 4(5)(9) = 36 - 180 = -144.

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