For what value (s) of x is the fraction 5x-10/x^2-25 undefined?

+5 or - 5.

Step-by-step explanation:

Given equation,

5x-10/x^2-25

When you divide something with zero, it becomes undefined. So, to be undefined, x will have to be that value which makes the divisor zero.

Now, x^2-25 = 0

Or, x^2 = 25

Or, x = + 5,-5.

So, for the value + 5 and - 5, the divisor becomes zero and makes the whole equation undefined.