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
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