a-2-x-2-y-2-b-2-x-2-y-2-a-b-2x-2-x-4-x-4-y-2-Find-x-such-that-y-is-minimum-Assume-x-y-gt-0-

Question Number 48118 by ajfour last updated on 19/Nov/18

\sqrt{a^{2} x^{2} - y^{2}} + \sqrt{b^{2} x^{2} - y^{2}}

= (a + b) \sqrt{2 x^{2} + \frac{x^{4}}{x^{4} - y^{2}}}

F i n d x s u c h t h a t y i s m i n i m u m .

A s s u m e x, y > 0 .