Question

Cho \(\frac{x+16}{9}=\frac{y-25}{16}=\frac{z+9}{25}\)    và \(2x^3-1=15.\)Tìm \(x+y+z\)

Answer 1

\(2x^3-1=15\)

\(\Leftrightarrow2x^3=15+1=16\)

\(\Leftrightarrow x^3=\frac{16}{2}=8\)

\(\Leftrightarrow x=2\)

Thay \(x=2;\)ta có :

\(\frac{y-25}{16}=\frac{z+9}{25}=\frac{2+16}{9}=\frac{18}{9}\)

\(\Leftrightarrow\frac{y-25}{16}=\frac{z+9}{25}=2\)

\(\Rightarrow\hept{\begin{cases}\frac{y-25}{16}=2\\\frac{z+9}{25}=2\end{cases}}\)

\(\Rightarrow\hept{\begin{cases}y-25=32\\z+9=50\end{cases}}\)

\(\Rightarrow\hept{\begin{cases}y=57\\z=41\end{cases}}\)

Vậy ...