solve { ((3x^2 −9y=1)),((3y^2 −9x=0)) :}


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Question Number 196971 by dimentri last updated on 05/Sep/23
$solve { ((3x^2 −9y=1)),((3y^2 −9x=0)) :}$
$s o l v e {\begin{cases} 3 x^{2} - 9 y = 1 \\ 3 y^{2} - 9 x = 0 \end{cases}$
	Answered by Frix last updated on 05/Sep/23

	$y = \frac{3 x^{2} - 1}{9}$ $x^{4} - \frac{2 x^{2}}{3} - 27 x + \frac{1}{9} = 0$ $No nice solution$ $x \approx . 00411480 \land y \approx - . 111105$ $x \approx 3.07275 \land y \approx 3.03616$ $x \approx - 1.53843 \pm 2 . 53397 i \land y \approx - 1.46253 \mp 2 . 59890 i$
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