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Given-that-x-2-1-1-3-2-1-1-3-Show-that-x-3-3x-2-




Question Number 14658 by tawa tawa last updated on 03/Jun/17
Given that:  x = ((√2) + 1)^(1/3)  − ((√2) − 1)^(1/3)   Show that ,     x^3  + 3x = 2
Giventhat:x=(2+1)1/3(21)1/3Showthat,x3+3x=2
Answered by Tinkutara last updated on 03/Jun/17
x^3  = (√2) + 1 − (√2) + 1 − 3(1)(x)  [Using (a − b)^3  = a^3  − b^3  − 3ab(a − b)]  x^3  + 3x = 2
x3=2+12+13(1)(x)[Using(ab)3=a3b33ab(ab)]x3+3x=2
Commented by tawa tawa last updated on 03/Jun/17
God bless you sir.
Godblessyousir.

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