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In the quadratic formula, x=−b±b2−4ac√2a𝑥=−𝑏±𝑏2−4𝑎𝑐2𝑎, the discriminant is the value of which portion of the formula?Question 3Select one:

Question

In the quadratic formula, x=b±b24ac2a x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} , the discriminant is the value of which portion of the formula?

Question 3 Select one:

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Solution

Understanding the Quadratic Formula

  1. Definition of the Quadratic Formula
    The quadratic formula is expressed as:
    x=b±b24ac2a x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

  2. Identifying the Components
    In the formula, the components are:

    • a a : coefficient of x2 x^2
    • b b : coefficient of x x
    • c c : constant term
    • b24ac \sqrt{b^2 - 4ac} : the square root term, which plays a critical role in determining the nature of the roots.
  3. Defining the Discriminant
    The discriminant in the context of the quadratic formula is the expression found inside the square root:
    D=b24ac D = b^2 - 4ac

Final Answer

The discriminant is the value of b24ac b^2 - 4ac in the quadratic formula.

This problem has been solved

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