Question

aflati numarul natural x care verifica egalitatea (x-2 la puterea a 3):3 la puterea a 2-a =1 la puterea 4

Answer 1

 

$\displaystyle\bf\\(x-2^3):3^2=\frac{1}{4}\\\\\frac{x-2^3}{3^2}=\frac{1}{4}\\\\\frac{x-8}{9}=\frac{1}{4}\\\\x-8=\frac{1}{4}\cdot9\\\\x-8=\frac{9}{4}\\\\x=8+\frac{9}{4}\\\\x=\frac{8\cdot4+9}{4}\\\\x=\frac{32+9}{4}\\\\\boxed{\bf~x=\frac{41}{4}}$