SOLUTION: when 2^X - 2^(-x) = 4, then 2^(2x) + 2^(-2x) = ... , and 2^(3x)

SOLUTION: when 2^X - 2^(-x) = 4, then 2^(2x) + 2^(-2x) = ... , and 2^(3x) - 2^(-3X) = ...

Question 1069225: when 2^X - 2^(-x) = 4, then 2^(2x) + 2^(-2x) = ... , and 2^(3x) - 2^(-3X) = ...
Answer by ikleyn(52915) (Show Source): You can put this solution on YOUR website!
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When 2^X - 2^(-x) = 4, then 2^(2x) + 2^(-2x) = ... , and 2^(3x) - 2^(-3X) = ...
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1.

    When 2^X - 2^(-x) = 4,    (1)

    then  (squaring both sides of (1) )    =  = 16,

    then                                   = 16 + 2 = 18.


    Answer.   when 2^X - 2^(-x) = 4, then   = 18.

For #2, follow the same scheme/idea, but instead of squaring, raise in degree 3 both sides.

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