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4 x y + (1/3 + 1/9 + 1/27 + 1/81) = 56/81
4 x y + (27/81 + 9/81 + 3/81 + 1/81) = 56/81
4 x y + 40/81 = 56/81
4 x y = 56/81 - 40/81 = 16/81
y = 4/81
\(\left(y+\frac{1}{3}\right) +\left(y+\frac{1}{9}\right)+ \left(y+\frac{1}{27}\right)+\left(y+\frac{1}{81}\right)=\frac{56}{81}\)
\(y\cdot4+\left(\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+\frac{1}{81}\right)=\frac{56}{81}\)
\(y\cdot4+\frac{40}{81}=\frac{56}{81}\)
\(y\cdot4=\frac{56}{81}-\frac{40}{81}\)
\(y\cdot4=\frac{16}{81}\)
\(y=\frac{16}{81}:4\)
\(y=\frac{4}{81}\)
1+3+9+27+......+y=1093
3x(1+3+9+27+.....+y)=1093x3
3+9+27+81+.....+3y=1093x3
=> 1093x3-1093= (3+9+27+.....3y)-(1+3+9+27+....+y)
<=> 1093x2=3y-1
<=>2186+1=3y
<=> 2187=3y
=> y=2187:3
y=729
Tìm y :
( y + 1/3 ) + ( y + 1/9 ) + ( y + 1/27 ) + ( y + 1/81 ) = 56/81
y + 1/3 + y + 1/9 + y + 1/27 + y + 1/81 = 56/81
y x 4 + ( 1/3 + 1/9 + 1/27 +1/81 ) = 56/81
y x 4 + ( 27/81 + 9/81 + 3/81 + 1/81 ) = 56/81
y x 4 + 40/81 = 56/81
y x 4 = 56/81 - 40/81
y x 4 = 16/81
y = 16/81 : 4
y = 4/81
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 ~
y + 1/3 + y+ 1/9 +y +1/27 + y+ 1/81 =56/81
4y +(1/3 +1/9+1/27+1/81) = 56/81
4y +(27 +9+3+1/81)=56/81
4y +40/81=56/81
4y =56/81 -40/81
4y=16/81
y=16/81 .1/4
y=4/81
\(a.\frac{Y}{3}=\frac{27}{Y}\Leftrightarrow\frac{Y^2}{3Y}=\frac{3.27}{3Y}\)
\(\Rightarrow Y^2=3.27=81\)
Do \(\orbr{\begin{cases}81=\left(-9\right)^2\\81=9^2\end{cases}\Rightarrow}\orbr{\begin{cases}Y=-9\\Y=9\end{cases}}\)
Vậy \(Y\in\left\{-9;9\right\}.\)
\(b.\frac{15}{Y}=\frac{Y}{9}\Leftrightarrow\frac{15.9}{Y.9}=\frac{Y^2}{9.Y}\)
\(\Rightarrow15.9=135=Y^2\)
Do \(\orbr{\begin{cases}135=\left(-\sqrt{135}\right)^2\\135=\sqrt{135}^2\end{cases}\Rightarrow}\orbr{\begin{cases}Y=-\sqrt{135}\\Y=\sqrt{135}\end{cases}}\)
Vậy \(Y\in\left\{-\sqrt{135};\sqrt{135}\right\}.\)
\(c.\frac{15}{48}:y=\frac{10}{4}\)
\(\Rightarrow y=\frac{15}{48}:\frac{10}{4}=\frac{1}{8}\)
Vậy \(y=\frac{1}{8}.\)
\(d.\frac{20}{y}.9=\frac{60}{135}\)
\(\Rightarrow\frac{20}{y}=\frac{60}{135}:9=\frac{20}{135}\)
\(\Leftrightarrow y=135\)
Vậy \(y=135.\)
\(e.\frac{16}{Y}=\frac{Y}{9}\Leftrightarrow\frac{16.9}{Y.9}=\frac{Y^2}{Y.9}\)
\(\Rightarrow16.9=144=Y^2\)
Do \(\orbr{\begin{cases}144=\left(-12\right)^2\\144=12^2\end{cases}\Rightarrow\orbr{\begin{cases}Y=-12\\Y=12\end{cases}}}\)
Vậy \(Y\in\left\{-12;12\right\}\)
\(g.\frac{25}{Y}=\frac{Y}{9}\Leftrightarrow\frac{25.9}{Y.9}=\frac{Y^2}{9.Y}\)
\(\Rightarrow25.9=225=Y^2\)
Do \(\orbr{\begin{cases}225=\left(-15\right)^2\\225=15^2\end{cases}\Rightarrow\orbr{\begin{cases}Y=-15\\Y=15\end{cases}}}\)
Vậy \(Y\in\left\{-15;15\right\}.\)
\(h.y-\frac{12}{42}=\frac{10}{12}\)
\(\Rightarrow y=\frac{10}{12}+\frac{12}{42}=\frac{47}{42}\)
Vậy \(Y=\frac{47}{42}.\)
\(i.y+\frac{5}{30}=\frac{18}{2}\)
\(\Rightarrow y=\frac{18}{2}-\frac{5}{30}=\frac{53}{54}\)
Vậy \(y=\frac{53}{54}.\)
mấy câu này gần như là giống nhau nên mik giải 1 câu rồi bạn dựa theo mà giải tiếp nha
y/3 = 27/y => y2 = 3 . 27
=> y2 = 81 => y = 9 hoặc -9
vậy .....
Ta có
y - 4873 = (350 - 350) : 25 + 27
y - 4873 = 0 : 25 + 27
y - 4873 = 0 + 27
y - 4873 = 27
y = 27 + 4873
y = 4900
Hết vội chưa :)
y - 4873 = ( 175 x 2 - 50 x 7 ) : 25 + 27
y = ( 350 - 350 ) : 25 + 27 + 4873
y = 0 + 27 + 4873
y = 4900
{ y + 1/3 } + { y + 1/9 } + { y + 1/27 } = 25/27
3y + 1/3 + 1/9 + 1/27= 25/27
3y+ 9/27+3/27+1/27= 25/27
3y + 13/27= 25/27
3y= 12/27
=> y= 4/27