Answer
The quadratic equation for this question is
x² - 2x - 24 = 0
Step-by-step explanation
The roots of a quadratic equation can be reversed to obtain the quadratic equation by writing them out, and turning them to factors, then multiplying those factors by each other.
For this question,
x = -4 OR x = 6
(x + 4) = 0 OR (x - 6) = 0
To obtain the quadratic equation,
(x + 4) (x - 6) = 0
x (x - 6) + 4 (x - 6) = 0
x² - 6x + 4x - 24 = 0
x² - 2x - 24 = 0
Hope this Helps!!!