What method would you choose to solve the equation: x2 + 2x - 6 = 0
Quadratic equations are those equations that have a degree equal to two. They have various applications.
Answer: To solve the equation x2 + 2x - 6 = 0, we use the quadratic formula (discriminant method).
Let's understand the solution in detail.
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).