Question

xf ayúdenme solucionando ese problema hay varios puntos de recompensa

Answer 1

$Condicion =t\ \textgreater \ 0 \\ \\ (t+t^{-1} )^{2} =5 \\ \\ (t+ \frac{1}{t} )^{2}=5 \\ \\ ( \frac{t^{2}+1 }{t} )^{2}=5 \\ \\ t^{2}+1=t \sqrt{5} \\ \\ t^{2} -t \sqrt{5}+1=0 \\ \\ Raices \\ \\ t1= \frac{1+ \sqrt{5} }{2}..........................t2= \frac{-1+ \sqrt{5} }{2} \\ \\ \\ Para..t1.....t^{3} + t^{-3} \\ ( \frac{1+ \sqrt{5} }{2} ) ^{3}+ ( \frac{1+ \sqrt{5} }{2} ) ^{-3}=4,47 \\ \\ \\ Para..t2.....t^{3} + t^{-3} \\ ( \frac{-1+ \sqrt{5} }{2} ) ^{3}+ ( \frac{-1+ \sqrt{5} }{2} ) ^{-3}=4,47$