Question

Помогите пожалуйста решить систему уравнений. 30 б

Answer 1

18

$begin{equation*}begin{cases}sqrt{x} + sqrt{y} = 6 \x - y = 12end{cases}end{equation*}tobegin{equation*}begin{cases}sqrt{x} + sqrt{y} = 6 \(sqrt{x} + sqrt{y})(sqrt{x} - sqrt{y}) = 12end{cases}end{equation*} tobegin{equation*}begin{cases}sqrt{x} + sqrt{y} = 6 \sqrt{x} - sqrt{y} = 2end{cases}end{equation*}$

И ответ:

$begin{equation*}begin{cases}sqrt{x}= 4 \sqrt{y} = 2end{cases}end{equation*} to begin{equation*}begin{cases}x= 16 \y = 4end{cases}end{equation*}$

21

$begin{equation*} begin{cases} sqrt[3]{x} - sqrt[3]{y} = 3 \ sqrt[3]{x} + sqrt[3]{y} = 5end{cases}end{equation*} to begin{equation*} begin{cases} sqrt[3]{x} = 4 \ sqrt[3]{y} = 1end{cases}end{equation*} to begin{equation*} begin{cases} x= 64 \ y = 1end{cases}end{equation*}$