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What is the discriminant of the quadratic equation 3x^(2)-7x+3=0 ? -85 13 85 -13

What is the discriminant of the quadratic equation 3x2−7x+3=0 3 x^{2}-7 x+3=0 ?\newline−85 -85 \newline1313\newline8585\newline−13 -13

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Q. What is the discriminant of the quadratic equation 3x2−7x+3=0 3 x^{2}-7 x+3=0 ?\newline−85 -85 \newline1313\newline8585\newline−13 -13
  1. Understand the Discriminant: Step Title: Understand the Discriminant\newlineConcise Step Description: 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. It determines the nature of the roots of the quadratic equation.\newlineStep Calculation: No calculation in this step.
  2. Identify the Coefficients: Step Title: Identify the Coefficients\newlineConcise Step Description: Identify the coefficients aa, bb, and cc from the quadratic equation 3x2−7x+3=03x^2 - 7x + 3 = 0.\newlineStep Calculation: Coefficients are a=3a = 3, b=−7b = -7, c=3c = 3.
  3. Calculate the Discriminant: Step Title: Calculate the Discriminant\newlineConcise Step Description: Use the discriminant formula D=b2−4acD = b^2 - 4ac to calculate the value of the discriminant for the given quadratic equation.\newlineStep Calculation: D=(−7)2−4(3)(3)=49−36=13D = (-7)^2 - 4(3)(3) = 49 - 36 = 13.

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