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What is the discriminant of the quadratic equation 3x^(2)-6x-1=0 ? -48 48 -24 24

What is the discriminant of the quadratic equation 3x2−6x−1=0 3 x^{2}-6 x-1=0 ?\newline−48 -48 \newline4848\newline−24 -24 \newline2424

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Q. What is the discriminant of the quadratic equation 3x2−6x−1=0 3 x^{2}-6 x-1=0 ?\newline−48 -48 \newline4848\newline−24 -24 \newline2424
  1. Identify Coefficients: Step Title: Identify the Coefficients of the Quadratic Equation\newlineConcise Step Description: Identify the coefficients of the quadratic equation to use in the discriminant formula.\newlineStep Calculation: The coefficients are a=3a = 3, b=−6b = -6, and c=−1c = -1.
  2. Recall Formula: Step Title: Recall the Discriminant Formula\newlineConcise Step Description: Recall the formula for the discriminant of a quadratic equation, which is D=b2−4acD = b^2 - 4ac.\newlineStep Calculation: No calculation needed at this step.
  3. Calculate Discriminant: Step Title: Calculate the Discriminant\newlineConcise Step Description: Substitute the identified coefficients into the discriminant formula to find the value of the discriminant.\newlineStep Calculation: D=(−6)2−4(3)(−1)=36+12=48D = (-6)^2 - 4(3)(-1) = 36 + 12 = 48.

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