Question

решите систему уравнений
у-х=12
{
у-х= ху/360​

Answer 1

Объяснение:

$\left \{ {{y-x=12} \atop {y-x=\frac{x*y}{360} }} \right. \ \ \ \ \ \left \{ {{y-x=12} \atop {12=\frac{x*y}{360} }} \right.\ \ \ \ \ \left \{ {{y=x+12} \atop {x*y=360*12}} \right. \ \ \ \ \ \left \{ {{y=x+12} \atop {x*(x+12)=4320}} \right. \ \ \ \ \ \left \{ {{y=x+12} \atop {x^2+12x-4320=0}} \right.$

$x^2+12x-4320=0\\D=17424\ \ \ \ \sqrt{D}=132.\\ x_1=-72\ \ \ \ y_1=-60\\x_2=60\ \ \ \ \ y_2=72.$

Ответ: (-72;-60), (60;72).