How do you find all the values that make the expression undefined: #(5x - 25)/(x^2 - 25)#?

Answer 1
The values of #x# that make this expression undefined are those for which the denominator (bottom) is zero.
#x^2-25 = 0# has solutions #x=+-5#
Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

To find the values that make the expression undefined, we need to identify the values of x that would result in a denominator of zero. In this case, the expression will be undefined when the denominator, x^2 - 25, equals zero.

To solve x^2 - 25 = 0, we can factor the equation as (x - 5)(x + 5) = 0.

Setting each factor equal to zero, we have x - 5 = 0 and x + 5 = 0.

Solving these equations, we find x = 5 and x = -5.

Therefore, the values that make the expression undefined are x = 5 and x = -5.

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7