Math Problem Statement

What is the formula X = b-/2a?

Solution

The formula you've written seems to be related to the quadratic formula, but it appears incomplete. Based on your notation, it likely refers to a part of the full quadratic formula used to solve quadratic equations of the form:

ax2+bx+c=0ax^2 + bx + c = 0

The complete quadratic formula is:

x=b±b24ac2ax = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

In this formula:

  • aa, bb, and cc are the coefficients of the quadratic equation.
  • The term ±\pm indicates two possible solutions (one using ++ and the other using -).

In your notation, X=b/2aX = b - / 2a, it looks like the minus sign is just part of b-b, which is a part of the full formula.

Would you like to go over an example or dive deeper into how this formula is derived?

Related Questions:

  1. How do you apply the quadratic formula in practice?
  2. What does the discriminant b24acb^2 - 4ac tell you about the roots of a quadratic equation?
  3. How do you determine the nature of solutions (real vs. complex) using the quadratic formula?
  4. Can you solve quadratic equations without using the quadratic formula?
  5. How does the quadratic formula relate to the graph of a parabola?

Tip:

Always check the discriminant b24acb^2 - 4ac before solving, as it can tell you whether the roots are real, complex, or equal.

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Math Problem Analysis

Mathematical Concepts

Algebra
Quadratic Equations

Formulas

Quadratic formula x = (-b ± √(b² - 4ac)) / 2a

Theorems

Quadratic Formula Theorem

Suitable Grade Level

Grades 9-11