Question

x^2 + 4x - 12 = 0

A. 6, 2
B. 6, -2
C. -6, 2
D. -6, -2

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the equation x^2 + 4x - 12 = 0, we can use the quadratic formula:

x = (-b ± √(b^2-4ac)) / 2a

In this case, a = 1, b = 4, and c = -12:

x = (-4 ± √(4^2 - 4*1*(-12))) / 2*1
x = (-4 ± √(16 + 48)) / 2
x = (-4 ± √64) / 2
x = (-4 ± 8) / 2

So, the solutions are:
x = (-4 + 8) / 2 = 4 / 2 = 2
x = (-4 - 8) / 2 = -12 / 2 = -6

Therefore, the roots of the equation x^2 + 4x - 12 = 0 are:

A. 6, 2