Question

Помогите с алгеброй пожалуйста

Answer 1

x²+x-5=0
D=21
$x_{1} = frac{-1- sqrt{21} }{2} x_{2} = frac{-1+ sqrt{21} }{2}$
$x_{1} ^{2}* x_{2} ^{4}+ x_{2} ^{2} * x_{1} ^{4} = x_{1} ^{2} * x_{2} ^{2}*( x_{2} ^{2} + x_{1} ^{2} )$
$( frac{-1- sqrt{21} }{2}) ^{2} * ( frac{-1+ sqrt{21} }{2} )^{2} *(( frac{-1- sqrt{21} }{2} ) ^{2} +( frac{-5+ sqrt{21} }{2} ) ^{2} )$
=$( frac{-1- sqrt{21} }{2}* frac{-1+ sqrt{21} }{2} ) ^{2}*( frac{1+2 sqrt{21}+21+1-2 sqrt{21} +21 }{4} ) = (frac{21-1}{4} ) ^{2} *11=$
=$5^{2}*11=275$