*What is the ***quadratic formula**?

The **quadratic formula **is a formula that helps us to find the solutions of an equation of degree 2. First of all, we need to turn our equation of degree 2 to standard form $ax^2+bx+c=0$.

The **quadratic formula **is: $\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$.

*How to use the ***quadratic formula**?

Let’s see some examples of the **quadratic formula**.

**Example 1: **Solve the quadratic equation $x^2+5x+6=0$.

**Solution:** In this quadratic equation a=1, b=5 and c=6. We put these numbers into the **quadratic formula** and we get:

$\dfrac{-5\pm \sqrt{25-24}}{2}=\dfrac{-5 \pm 1}{2}=-2,-3$.

**Example 2:** Solve the quadratic equation $x^2+5x+7=0$.

**Solution:** In this quadratic equation a=1, b=5 and c=7. We put these numbers into the **quadratic formula** and we get:

$\dfrac{-5\pm \sqrt{25-28}}{2}=$. As you see, under the square root we have a negative number, so there we have no solution for this quadratic equation.

*When do we use the ***quadratic formula**?

The **quadratic formula** is the most general formula to find solutions to quadratic equations. You can use it when you have a quadratic equation.

If you need help to understand and learn about the quadratic formula, contact us.

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