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Quá đơn giản :
2x3-1 = 15
=> 2x3=16
=> x3 = 8
=> x =2
Thay x vào \(\frac{x+16}{9}\)
=> \(\frac{2+16}{9}=2\)
=> \(2=\frac{y-25}{16}\)
=> y-25 = 32
=> y = 57
=> \(2=\frac{z+9}{25}\)
=> z + 9 = 50
=> ...
Đ/S: ...
![](https://rs.olm.vn/images/avt/0.png?1311)
Đặt \(\frac{x-16}{9}=\frac{y-25}{16}=\frac{x+9}{25}=k\)
\(\Rightarrow\hept{\begin{cases}x=9k+16\\y=16k+25\\z=25k-9\end{cases}}\Rightarrow x+y+z=9k+16+16k+25+25k-9=50k+32\)
Xét 2x3-1=15
=>2x3=15+1=16
=>x3=16:2=8
=>x3=23
=>x=2
=>k=\(\frac{2-16}{9}=\frac{-14}{9}\)
=>x+y+z=\(50.\frac{-14}{9}+32=\frac{-412}{9}\)
Do 2x^3-1=15= =>2x^3=16 =>x^3m=8 =>x=2
ta co x-16/9 =y-25/16 =z+9/25 =x-16+y-25+z+25/ 9+16+25 =x+y+z-32 /50 (1)
thay x=2 vao (1) ta co 2-16/9= -14/9=x+y+z-32 /50 =>x+y+z-32 =-700/9
=>x+y+z=-412/9
![](https://rs.olm.vn/images/avt/0.png?1311)
2x^3-1=15 => 2x^3 = 15+1 = 16
=> x^3=16:2=8 = 2^3
=> x=2
Khi đó : y-25/16=z+9/25=x+16/9 = 2+16/9 = 2
=> y = 57 ; z = 41
=> x+y+z = 2+57+41 = 100
k mk nha
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
2x3 - 1 = 15 =>2x3 =16 => x3 =8 => x= 2
Vì \(\frac{x+16}{9}=\frac{y-25}{16}=\frac{z+9}{25}=\frac{x+16+y-25+z+9}{9+16+25}=\frac{x+y+z}{50}\)nên \(\frac{x+y+z}{50}=\frac{x+16}{9}=\frac{2+16}{9}=2\)
=> x+y+z=2.50 = 100
![](https://rs.olm.vn/images/avt/0.png?1311)
2x^3-1 = 15
=> 2x^3 = 15+1 = 16
=> x^3 = 16:2 = 8 = 2^3
=> x = 2
=> y-25/16 = z+9/25 = 2+16/9 = 2
=> y = 57 ; z = 41
=> x+y+z = 2+57+41 = 100
Vậy x+y+z = 100
Tk mk nha
Ta có : 2x3 - 1 = 15 \(\Rightarrow\)2x3 = 16 \(\Rightarrow\)x3 = 8 = 23 \(\Rightarrow\)x = 2
Thay x = 2 vào các tỉ số trên, ta được :
\(\frac{2+16}{9}=\frac{y-25}{17}=\frac{z+9}{25}\)
hay \(\frac{y-25}{17}=\frac{z+9}{25}=2\)
\(\frac{y-25}{17}=2\Rightarrow y-25=34\Rightarrow y=59\)
\(\frac{z+9}{25}=2\Rightarrow z+9=50\Rightarrow z=41\)
Vậy x + y + z = 2 + 59 + 41 = 102
![](https://rs.olm.vn/images/avt/0.png?1311)
2x3 - 1 = 15 <=> 2x3 = 16
<=> x3 = 8 = 23
=> x = 2
\(\Leftrightarrow\frac{2+16}{9}=\frac{18}{9}=2\)
\(\Leftrightarrow\frac{y-25}{16}=2\) => y - 25 = 32 => y = 57
\(\Leftrightarrow\frac{z+9}{25}=2\) => z + 9 = 50 => z = 41
Vậy x = 2; y = 57; z = 41
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có: \(\frac{x+16}{4}=\frac{4\left(x+16\right)}{4.4}=\frac{4x+64}{16}\)
Mà \(2x^3-1=15\)
\(\Rightarrow2x^3=15+1\)
\(\Rightarrow2x^3=16\)
\(\Rightarrow x^3=8\)
\(\Rightarrow x^3=2^3\)
\(\Rightarrow x=2\)
\(\Rightarrow\frac{x+16}{4}=\frac{2+16}{4}=\frac{18}{4}\)
Vì \(\frac{x+16}{4}=\frac{y-25}{16}\Rightarrow18.16=4\left(y-25\right)\)
\(\Rightarrow4y-100=288\)
\(\Rightarrow4y=388\)
\(\Rightarrow y=388:4\)
\(\Rightarrow y=97\)
\(\Rightarrow\frac{y-25}{16}=\frac{97-25}{16}=\frac{72}{16}\)
Tương tự: \(72.25=16\left(z+9\right)\)
\(\Rightarrow1800=16z+144\)
\(\Rightarrow16z=1800-144\)
\(\Rightarrow16z=1656\)
\(\Rightarrow z=1656:16\)
\(\Rightarrow z=103,5\)
Vậy: \(x+y+z=2+97+103,5=202,5\)