Question

\(\frac{-9}{x}\)=\(\frac{-x}{\frac{4}{49}}\)

Answer 1

\(\frac{-9}{x}=\frac{-x}{\frac{4}{49}}\)

\(\Rightarrow x.x=\left(-9\right).\left(-\frac{4}{49}\right)\)

\(\Rightarrow x^2=\frac{36}{49}\)

\(\Rightarrow x^2=\hept{\begin{cases}\left(\frac{6}{7}\right)^2\\\left(-\frac{6}{7}\right)^2\end{cases}}\)

\(\Rightarrow x=\hept{\begin{cases}+\frac{6}{7}\\-\frac{6}{7}\end{cases}}\)

Answer 2

\(\frac{-9}{x}=\frac{-x}{\frac{4}{49}}\)

=> -x.x = -9.4/49

=> -x² = \(\frac{-36}{49}\)

=> x² = \(\frac{36}{49}\)

=> x² = \(\left(\pm\frac{6}{7}\right)^2\)

=> x = \(\pm\frac{6}{7}\)