# What method would you choose to solve the equation: x^{2} + 2x - 6 = 0

Quadratic equations are those equations that have a degree equal to two. They have various applications.

## Answer: To solve the equation x^{2} + 2x - 6 = 0, we use the quadratic formula (discriminant method).

Let's understand the solution in detail.

**Explanation:**

Given equation: x^{2} + 2x - 6 = 0.

We can solve it by the discriminant method.

Here, we use the quadratic formula (-b ± √D) / 2a, where D is the discriminant = b^{2} - 4ac.

Hence, we have a = 1, b = 2 and c = -6.

Therefore, D = 2^{2} - 4(-6)(1) = 28.

Hence, the roots are (-2 ± √28) / 2 which can be simplified as x = (-1 + √7) and x = (-1 - √7).