(((√(a^2 +(b^2 /x^2 )))+(√(a^2 +b^2 x^2 )))/((√(a^2 +(b^2 /x^2 )))−(√(a^2 +b^2 x^2 )))) = ((a^2 /b^2 ))x x∈R^+ ; Express x in terms of a^2 , b^2 .


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Question Number 89070 by ajfour last updated on 15/Apr/20

$\frac{\sqrt{a^{2} + \frac{b^{2}}{x^{2}}} + \sqrt{a^{2} + b^{2} x^{2}}}{\sqrt{a^{2} + \frac{b^{2}}{x^{2}}} - \sqrt{a^{2} + b^{2} x^{2}}} = (\frac{a^{2}}{b^{2}}) x$ $x \in R^{+}; E x p r e s s x i n t e r m s o f$ $a^{2}, b^{2} .$
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