Algebra

What does the Quadratic Formula help us find? What is it exactly? To put it simply, the quadratic formula is an algebraic formula that allows you to find the x-intercepts or roots of a quadratic equation.

The quadratic formula is a formula that allows you to find the x – intercepts or roots of a quadratic equation.

A quadratic equation can have three different root(s) outcomes.

Now that you are familiar with the types of roots a quadratic equation can produce, let us look at the quadratic formula.

To effectively use the Quadratic Formula, we must know the standard form of a quadratic. This will be used to help you identify the values of a, b, and c.

Use the Quadratic Formula to solve,

**Step 1: **Make sure your equation is in standard form. Our equation is already in standard form.

**Step 2: **Identify your a, b, and c from your equation by looking at the general standard form equation.

a = 1, b = 6, and c = -16

**Step 3: **Plug in your values from step 2 into the Quadratic Formula.

**Step 4: **Simplify - Solve the Quadratic Formula!

So, the roots are at x = 2 and x = -8. There are two rational roots because the roots are rational numbers.

Use the Quadratic Formula to solve,

**Step 1: **Make sure your equation is in standard form. The equation is not in standard form, you will need to add ten to both sides to look like this.

**Step 2:** Identify your a, b, and c from your equation by looking at the general standard form equation.

a = 1, b = -6, and c = 10

**Step 3: **Plug in your values from step 2 into the Quadratic Formula.

**Step 4: **Simplify - Solve using the Quadratic Formula!

So, the roots are at x= 3 + i and x = 3 - i, which are both complex roots because you can’t take the square root of a negative number. Thus, in the equation, the parabola does not hit the x-axis.

- How to find the vertex of a parabola?
- What is the Distance Formula?
- What is the Area of a Circle? Surface Area of a Cylinder?

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