Respuesta :

The fraction will be undefined on x=5 and x=-5

Step-by-step explanation:

The fraction is undefined on values that make the denominator of the fraction zero.

Given fraction is:

[tex]\frac{5x-10}{x^2-25}[/tex]

To find the values on which the denominator will be zero, we put the denominator equal to zero.

[tex]x^2-25=0\\(x)^2-(5)^2=0\\(x+5)(x-5)=0\\x+5 = 0 => x=-5\\x-5 = 0 => x=5[/tex]

So,

The fraction will be undefined on x=5 and x=-5

Keywords: Fractions

Learn more about fractions at:

  • brainly.com/question/2456596
  • brainly.com/question/2479097

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