Question

Пожалуйста с решением, подробно!

Answer 1

$1)\frac{1}{x_{1}^{2}}+\frac{1}{x_{2}^{2}}=\frac{x_{1}^{2}+x_{2}^{2}}{x_{1}^{2} *x_{2}^{2}}=\frac{(x_{1}+x_{2})^{2} -2x_{1}*x_{2} }{(x_{1}*x_{2} )^{2}}=\frac{2,5^{2}-2*(-2) }{(-2)^{2} }=\frac{6,25+4}{4}=\frac{10,25}{4}=2,5625$

$2)x_{1}x_{2}^{4}+x_{2}x_{1}^{4} =x_{1}*x_{2}(x_{1}^{3}+x_{2}^{3} )=x_{1}x_{2}*(x_{1}+x_{2} )(x_{1}^{2}-x_{1}x_{2}+x_{2}^{2})=x_{1}x_{2}(x_{1}+x_{2})((x_{1}+x_{2})^{2}-3x_{1}x_{2}))=-2((2,5^{2}-3*(-2))=-2*(6,25+6)=-2*12,25=- 24,5$