Answer:
The value of the expression is [tex] = \frac{1}{25}[/tex]
Step-by-step explanation:
The expression whose value is to be found is [tex] \frac{ {x}^{2} + 1 }{ {x}^{2} }- 1[/tex]
Also from the question, x=-5
Hence to find the value for the expression, we put x=-5 and simplify.
This implies that,
[tex]\frac{ { (- 5)}^{2} + 1 }{ {( - 5)}^{2} }- 1[/tex]
[tex] = \frac{25+ 1 }{25}- 1[/tex]
[tex] = \frac{26}{25} - 1[/tex]
[tex] = \frac{26}{25} - \frac{25}{25}[/tex]
[tex] = \frac{1}{25}[/tex]