Find all solutions of the given system, where x&y are real numbers

[From: ] [author: ] [Date: 11-12-02] [Hit: ]

2(logbase10ofx)^2 - (logbase10ofy)^2= -1
4(logbase10ofx)^2 - 3(logbase10ofy)^2= -11

Let
(logbase10ofx) = X
(logbase10ofy) = Y
2X^2 - Y^2 = -1
4X^2 - 3Y^2 = -11

solve --> X^2 = 4 , Y^2 = 9 , now solve for x , y

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