The problem asks how the quadratic formula is used to solve a quadratic equation. We must select the correct description from the multiple-choice options.

AlgebraQuadratic EquationsQuadratic FormulaEquation Solving
2025/4/15

1. Problem Description

The problem asks how the quadratic formula is used to solve a quadratic equation. We must select the correct description from the multiple-choice options.

2. Solution Steps

The quadratic formula is used to solve quadratic equations in the form ax2+bx+c=0ax^2 + bx + c = 0.
The steps involved are:

1. Ensure the quadratic equation is in standard form ($ax^2 + bx + c = 0$).

2. Identify the coefficients $a$, $b$, and $c$.

3. Substitute the values of $a$, $b$, and $c$ into the quadratic formula:

x=b±b24ac2ax = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}
Option A: Factoring is a different method for solving quadratic equations.
Option B: This option correctly states that you need to place the quadratic equation in standard form, identify aa, bb, and cc, and substitute them into the quadratic formula.
Option C: Completing the square is another method.
Option D: Using the square root property is a method for solving specific types of quadratic equations.

3. Final Answer

B. Place the quadratic equation in standard form. Find a, b, and c. Substitute these values into the quadratic formula.

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