SOLUTION: Solve: (x^2 - 1)^1/2 + (x^2 - 1)^-1/2 = 2 Any help would be very much appreciated. Thank you

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Question 446023: Solve:
(x^2 - 1)^1/2 + (x^2 - 1)^-1/2 = 2
Any help would be very much appreciated.
Thank you

Answer by Gogonati(855)   (Show Source): You can put this solution on YOUR website!
,multiply both sides by
=>. Raise to the
second power both sides of equation:, set the equation to
zero:, substitute and get a quadratic equation:
, solving this equation we find:y=5 and y=5/4.
Knowing that, , get and
Also from , we get and
Thus, the solution set is:[ , , ,
]

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