Ta có hệ: \(\left\{{}\begin{matrix}\dfrac{1}{15}=\dfrac{1}{d'}-\dfrac{1}{d}\\d-d'=7,5\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}\dfrac{1}{15}=\dfrac{1}{d'}-\dfrac{1}{d'+7,5}\\d=d'+7,5\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}2d'^2+15d'-225=0\left(1\right)\\d=d'+7,5\left(2\right)\end{matrix}\right.\)
\(\Rightarrow\left(1\right)\Leftrightarrow\left[{}\begin{matrix}d'=-15\left(l\right)\\d'=7,5\end{matrix}\right.\)
\(\Rightarrow d=15\)