find x,y { ((5(√(2x^2 −y^4 )) =4x−3y)),((4(√(2x^2 −y^4 )) =3x−2y)) :}


Question and Answers Forum

All Questions Topic List
Algebra Questions
Previous in All Question Next in All Question
Previous in Algebra Next in Algebra
Question Number 82031 by M±th+et£s last updated on 17/Feb/20
$find x,y { ((5(√(2x^2 −y^4 )) =4x−3y)),((4(√(2x^2 −y^4 )) =3x−2y)) :}$
$f i n d x, y$ ${\begin{cases} 5 \sqrt{2 x^{2} - y^{4}} = 4 x - 3 y \\ 4 \sqrt{2 x^{2} - y^{4}} = 3 x - 2 y \end{cases}$
	Answered by MJS last updated on 17/Feb/20

	$\sqrt{2 x^{2} - y^{4}} = \frac{4 x - 3 y}{5} = \frac{3 x - 2 y}{4}$ $\Rightarrow$ $y = \frac{x}{2}$ $\Rightarrow x = 0 \land y = 0 \lor x = 2 \sqrt{7} \land y = \sqrt{7}$
Terms of Service
Privacy Policy
Contact: info@tinkutara.com

Question and Answers Forum