Question

Решите систему
$left { {{x(1+y)=66} atop {x^2*y=128}} right.$

Answer 1

$left { {{x(1+y)=66} atop {x^2y=128}} right. \ \ x(1+ frac{128}{x^2} )=66 \ \ \ x+ frac{128}{x} =66 \ \ x^2-66x+128=0$
$left { {{x(1+y)=66} atop {x^2y=128}} right. \ \ x(1+ frac{128}{x^2} )=66 \ \ \ x+ frac{128}{x} =66 \ \ x^2-66x+128=0 \ \ D=4356-512=3844=62^2 \ \ x_{1} =(66-62)/2=2; y_{1} =128/4=32 \ \ x_{2} =(66+62)/2=64; y_{2} =128/4096=1/32$