Answer:
[tex]given \: x = - \frac{1}{7} [/tex]
[tex]x {}^{2} + \frac{1}{x {}^{2} } [/tex]
[tex]( - \frac{1}{7} ) {}^{2} + \frac{1}{ ( - \frac{1}{7} ) {}^{2} } [/tex]
[tex] \frac{1}{49} + \frac{1}{ \frac{1}{49} } [/tex]
[tex] \frac{1}{49} + \frac{1 \times 49}{1} [/tex]
[tex] \frac{1}{49} + 49[/tex]
[tex] \frac{2402}{49} \: or \: 49.02[/tex]
