Question

x^(-4/3)-2x^(2/3)-8=0

Answer 1

$x^{-frac43}-2x^{-frac23}-8=0\x^{-frac23}=t,;x^{-frac43}=t^2,;t textgreater 0\t^2-2t-8=0\D=4+4cdot8=36\t_{1,2}=frac{2pm6}2\t_1=4\t_2=-2 textless 0;-;He;nogx.\x^{-frac23}=4\frac1{sqrt[3]{x^2}}=4\sqrt[3]{x^2}=frac14\x^2=frac1{64}\x=pmfrac18.$