Задание

Выбери верные ответы

Реши системы уравнений:

\begin{cases} 2y^2-4xy+3x^2=17, \\ y^2-x^2=16. \end{cases}

(-3; -5)

(3; 5)

-\cfrac{5}{3}; -\cfrac{13}{3}

\cfrac{5}{3}; \cfrac{13}{3}

(-5; -3)

(5; 3)

-\cfrac{13}{3}; -\cfrac{5}{3}

\cfrac{13}{3}; \cfrac{5}{3}

\begin{cases} 2x^2+3xy+y^2=3, \\ x^2+2xy-5y^2=-5. \end{cases}

(-2; 1)

(2; -1)

-\cfrac{5}{\sqrt{138}}; -\cfrac{13}{\sqrt{138}}

\cfrac{5}{\sqrt{138}}; \cfrac{13}{\sqrt{138}}

(-1; 2)

(1; -2)

-\cfrac{13}{\sqrt{138}}; -\cfrac{5}{\sqrt{138}}

\cfrac{13}{\sqrt{138}}; \cfrac{5}{\sqrt{138}}