(√(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


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

$\sqrt{a^{2} x^{2} - y^{2}} + \sqrt{b^{2} x^{2} - y^{2}}$ $= (a + b) \sqrt{2 x^{2} + \frac{x^{4}}{x^{4} - y^{2}}}$ $F i n d x s u c h t h a t y i s m i n i m u m .$ $A s s u m e x, y > 0 .$
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