Ответ:

[tex]x^2-17x+52=0\\D= 289-208=81\\\sqrt{D}=9[/tex]

[tex]x_{1}=\frac{17+9}{2} = 13\\ x_{2} = \frac{17-9}{2}= 4[/tex]

[tex]x_{1}* x_{2}= 13*4=52[/tex]

[tex]x_{1}^2* x_{2}^2= 13^2*4^2= 169*16=2704\\[/tex]

[tex]2704(\frac{1}{x_{1}^2 }+\frac{1}{x_{2}^2 } )= \frac{2704}{169}+\frac{2704}{16}=16+169=185[/tex]