# Math Help - Help System !

1. ## Help System !

Hii !

Can You Help Me in This System,

Solve in $\mathbb{R}^2$ The System :

$\left\{\begin{array}{rcl}
x^3y=9 \\ 3x + y = 6
\end{array}\right.
$

2. Hi

$y = \frac{9}{x^3}$

$3x + \frac{9}{x^3} = 6$

$x^4 - 2x^3 + 3 = 0$

$f(x) = x^4 - 2x^3 + 3$ is decreasing over ]-oo,3/2] and increasing over [3/2,+oo[ and f(3/2) = 21/16 > 0

Therefore f(x) > 0 for all x and there are no solutions