Question

{x-y^2=-3
{xy^2=54
Решить систему
Ответ один из этих (6;3)и(3;-6) , (-3;6)и(6;-3) , (6;3)и(6;-3)

Answer 1

Во вложении:

_________________

Answer 2

Ответ получается (6 , -3) и (6 , 3)

$\left \{ {{x - y^{2}=-3 } \atop {xy^{2}=54 }} \right. \\\\\left \{ {{x = -3 + y^{2} } \atop {xy^{2} = 54 }} \right. \\\\(-3 + y^{2} ) * y^{2} = 54\\\\y = -3\\y = 3\\\\x = -3+(-3)^{2} \\x = -3 + 3^{2} \\\\x = 6\\x = 6\\\\(x1 , y1) = (6 , - 3)\\(x2 , y2) = (6 , 3)\\\\\left \{ {{6 - ( -3)^{2}= -3 } \atop {6 * (-3)^{2}= 54 }} \right. \\\left \{ {{6 -3^{2}=-3 } \atop {6 * 3^{2}=54 }} \right. \\\\\left \{ {{-3 = -3} \atop {54 = 54}} \right. \\\left \{ {{-3 = -3} \atop {54 = 54}} \right.$