a) (x+1)/3 + (x+1)/9 + (x+1)/27 + (x+1)/81 = 56/81
<=> (27x+27)/81 + (9x+9)/81 + (3x+3)/81 + (x+1)/81 = 56/81 (quy đồng)
<=> 27x + 9x + 3x + x + 27 + 9 + 3 + 1 = 56 (khử mẫu)
<=> 40x = 56- 40 = 16
<=> x = 16/40 = 2/5
~ hok tốt ~
#)Giải :
\(\left(y+\frac{1}{3}\right)+\left(y+\frac{1}{9}\right)+\left(y+\frac{1}{27}\right)+\left(y+\frac{1}{81}\right)=\frac{56}{81}\)
\(4y+\left(\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+\frac{1}{81}\right)=\frac{56}{81}\)
\(4y+\left(\frac{27}{81}+\frac{9}{81}+\frac{3}{81}+\frac{1}{81}\right)=\frac{56}{81}\)
\(4y+\frac{40}{81}=\frac{56}{81}\)
\(\Leftrightarrow4y=\frac{16}{81}\)
\(\Leftrightarrow y=\frac{4}{81}\)
\(y+\frac{1}{3}+y+\frac{1}{9}+y+\frac{1}{27}+y+\frac{1}{81}=\frac{56}{81}\)
\(\Rightarrow4y+\left(\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+\frac{1}{81}\right)=\frac{56}{81}\)
\(\Rightarrow4y+\frac{27+9+3+1}{81}=\frac{56}{81}\)
\(\Rightarrow4y+\frac{40}{81}=\frac{56}{81}\)
\(\Rightarrow4y=\frac{16}{81}\)
\(\Rightarrow y=\frac{16}{81}:4=\frac{16}{81}.\frac{1}{4}\)
\(\Rightarrow y=\frac{4}{81}\)