Răspuns :
Aduam numaratorii la numitori si obtinem:
[tex]\dfrac{x}{144-x}=\dfrac{64}{x-64}\Rightarrow \dfrac{x}{144}=\dfrac{64}{x}\Rightarrow x^2=144\cdot64\Rightarrow [/tex]
[tex]\Rightarrow x=\sqrt{144\cdot64}=\sqrt{144}\cdot\sqrt{64}=12\cdot8=96[/tex]
[tex]\dfrac{x}{144-x}=\dfrac{64}{x-64}\Rightarrow \dfrac{x}{144}=\dfrac{64}{x}\Rightarrow x^2=144\cdot64\Rightarrow [/tex]
[tex]\Rightarrow x=\sqrt{144\cdot64}=\sqrt{144}\cdot\sqrt{64}=12\cdot8=96[/tex]