n^3-9n/n^2-64
Numbers for which the rational expressions is undefined?
denominators cannot be equal to zero, so n=8 is excluded.
n=+- 8 are excluded.
To determine the values for which the rational expression (n^3-9n)/(n^2-64) is undefined, we need to find the values of n that would make the denominator equal to zero.
In this case, the denominator is (n^2-64). To find the values that would make this equal to zero, we set it equal to zero and solve for n:
n^2 - 64 = 0
To solve this quadratic equation, we can factor it as the difference of squares:
(n - 8)(n + 8) = 0
Now we can set each factor equal to zero and solve for n:
n - 8 = 0 or n + 8 = 0
n = 8 or n = -8
So, the values of n that would make the denominator equal to zero are n = 8 and n = -8. These are the values for which the rational expression is undefined.