Question

X/5=y/4 va x²-y²=1

Answer 1

\(\frac{x}{5}=\frac{y}{4}\Rightarrow\frac{x^2}{25}=\frac{y^2}{16}=\frac{x^2-y^2}{25-16}=\frac{1}{9}\)

\(\Rightarrow x^2=\frac{25}{9}\Rightarrow x=\frac{-5}{3};\frac{5}{3}\)

xét \(x=\frac{-5}{3}\Rightarrow y=\frac{-4}{3}\)

xét \(x=\frac{5}{3}\Rightarrow y=\frac{4}{3}\)

vậy \(\left(x;y\right)=\left(\frac{-5}{3};\frac{-4}{3}\right);\left(\frac{5}{3};\frac{4}{3}\right)\)