Question

Stiind ca x supra y egal cu 2 supra 3 calculati valoarea raportului x la puterea a 3 plus y la puterea a 3 supra 7 ori x la puterea a 3

Answer 1

$\dfrac{x}{y}=\dfrac{2}{3}$

x=2k
y=3k

$\dfrac{x^{3}+y^{3}}{7\cdot x^{3}}$

$\dfrac{(2k)^{3}+(3k)^{3}}{7\cdot (2k)^{3}}=\dfrac{8k^{3}+27k^{3}}{7\cdot 8k^{3}}=\dfrac{35k^{3}}{56k^{3}}=\dfrac{5}{8}$