Answer:
x <> -3, 8
Explanation:
x² - 5x - 24 (the denominator of the fraction) must not be 0, because n/0 is not defined for any n.
since this is a quadratic equation, it must have 2 solutions.
therefore, the second answer must be right.
let's check.
a quadratic equation
ax² + bx + c = 0
has the solutions
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
x = (5 ± sqrt((-5)² - 4×1×-24))/(2×1) =
= (5 ± sqrt(25 + 96))/2 = (5 ± sqrt(121))/2 =
= (5 ± 11)/2
x1 = (5 + 11)/2 = 16/2 = 8
x2 = (5 - 11)/2 = -6/2 = -3
correct.