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1 year ago in Algebra , Mathematics By Akshay R

How can we solve the equation (1+x)^n + (1-x)^n = A 2^n for x?

 This is a technical problem-solving query involving algebraic manipulation of a parametric equation. The user provides constraints for the real parameters n and A, indicating a search for a general solution approach. The expectation is a step-by-step mathematical derivation, likely involving the binomial theorem, to express x in terms of n and A.

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By Vinod D Answered 1 year ago


For real n (1.5 < n < 6) and 2^(1-n) < A < 1, expand using the binomial theorem and simplify. Solve for x in terms of A and n. Analytical solutions involve algebraic manipulation or approximation methods if closed-form solutions are complex or not straightforward.

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