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Реши любую задачу с помощью нейросети.
Дано
$$x^{2} – y^{2} = 20$$
x*y – 6 = 0
$$x y – 6 = 0$$
Ответ
$$x_{1} = – frac{1}{6} sqrt{-10 + 2 sqrt{34}} left(10 + 2 sqrt{34}right)$$
=
$$- sqrt{-10 + 2 sqrt{34}} left(frac{5}{3} + frac{sqrt{34}}{3}right)$$
=
=
$$- sqrt{-10 + 2 sqrt{34}} left(frac{5}{3} + frac{sqrt{34}}{3}right)$$
=
-4.65423503807990
$$y_{1} = – sqrt{-10 + 2 sqrt{34}}$$
=
$$- sqrt{-10 + 2 sqrt{34}}$$
=
-1.28914847464929
$$x_{2} = frac{1}{6} sqrt{-10 + 2 sqrt{34}} left(10 + 2 sqrt{34}right)$$
=
$$sqrt{-10 + 2 sqrt{34}} left(frac{5}{3} + frac{sqrt{34}}{3}right)$$
=
=
$$sqrt{-10 + 2 sqrt{34}} left(frac{5}{3} + frac{sqrt{34}}{3}right)$$
=
4.65423503807990
$$y_{2} = sqrt{-10 + 2 sqrt{34}}$$
=
$$sqrt{-10 + 2 sqrt{34}}$$
=
1.28914847464929
$$x_{3} = – frac{i}{6} sqrt{10 + 2 sqrt{34}} left(- 2 sqrt{34} + 10right)$$
=
$$left(- frac{5}{3} + frac{sqrt{34}}{3}right) sqrt{- 2 sqrt{34} – 10}$$
=
=
$$left(- frac{5}{3} + frac{sqrt{34}}{3}right) sqrt{- 2 sqrt{34} – 10}$$
=
1.28914847464929*i
$$y_{3} = – i sqrt{10 + 2 sqrt{34}}$$
=
$$- i sqrt{10 + 2 sqrt{34}}$$
=
-4.6542350380799*i
$$x_{4} = frac{i}{6} sqrt{10 + 2 sqrt{34}} left(- 2 sqrt{34} + 10right)$$
=
$$sqrt{- 2 sqrt{34} – 10} left(- frac{sqrt{34}}{3} + frac{5}{3}right)$$
=
=
$$sqrt{- 2 sqrt{34} – 10} left(- frac{sqrt{34}}{3} + frac{5}{3}right)$$
=
-1.28914847464929*i
$$y_{4} = i sqrt{10 + 2 sqrt{34}}$$
=
$$sqrt{- 2 sqrt{34} – 10}$$
=
4.6542350380799*i
Численный ответ
x1 = 4.654235038079899
y1 = 1.289148474649294
x2 = -4.654235038079899
y2 = -1.289148474649294