What method would you choose to solve the equation: x² + 2x - 6 = 0

Solution:

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

Given equation: x² + 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 = b² - 4ac.

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

Therefore, D = 2² - 4(-6)(1) = 28.

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

Thus, to solve the equation x² + 2x - 6 = 0, we use the quadratic formula (discriminant method).

What method would you choose to solve the equation: x² + 2x - 6 = 0

Summary:

To solve the equation x² + 2x - 6 = 0, we use the quadratic formula (discriminant method).