Ta có:\(\dfrac{x}{-3}=\dfrac{y}{-8}\)
⇒\(\left(\dfrac{x}{-3}\right)^2=\left(\dfrac{y}{-8}\right)^2\)
\(\dfrac{x^2}{9}=\dfrac{y^2}{64}\)
áp dụng tính chất dãy tỉ số bằng nhau:
\(\dfrac{x^2}{9}=\dfrac{y^2}{64}=\dfrac{x^2-y^2}{9-64}=\dfrac{\dfrac{-44}{5}}{-55}=484\)
⇒x\(^2\)=\(484\cdot9=4356\)⇒x=\(\sqrt{4356}=66\)
⇒y\(^2\)\(=484\cdot64=30976\)⇒y=\(\sqrt{30976}=176\)
Vậy x=66; y=176