Lutasin ang {l}{xsqrt{y}+ysqrt{x}=30}{xsqrt{x}+ysqrt{y}=35}

$$\left\{ \begin{array} { l } { x \sqrt { y } + y \sqrt { x } = 30 } \\ { x \sqrt { x } + y \sqrt { y } = 35 } \end{array} \right.$$

I-solve ang x, y (complex solution)

$$x=4\text{, }y=9$$

$$x=9\text{, }y=4$$

$$x=9e^{\frac{4\pi i}{3}}\approx -4.5-7.794228634i\text{, }y=-2\sqrt{3}i-2\approx -2-3.464101615i$$

$$x=4e^{\frac{4\pi i}{3}}\approx -2-3.464101615i\text{, }y=\frac{-9\sqrt{3}i-9}{2}\approx -4.5-7.794228634i$$

I-solve ang x, y

$$x=9\text{, }y=4$$

$$x=4\text{, }y=9$$