Question

\(3a-b=\dfrac{1}{2}\left(a+b\right)\) tính \(\dfrac{a^{2022}+3^{2022}}{b^{2022}+5^{2022}}\)

Answer 1

3a-b=1/2(a+b)

=>6a-2b=a+b

=>5a=3b

=>a/3=b/5=k

=>a=3k; b=5k

\(A=\dfrac{a^{2022}+3^{2022}}{b^{2022}+5^{2022}}\)

\(=\dfrac{3^{2022}\left(k^{2022}+1\right)}{5^{2022}\left(k^{2022}+1\right)}=\left(\dfrac{3}{5}\right)^{2022}\)