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20 May, 03:56

X⁴+1/x⁴=47, find the value of x³+1/x³

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  1. 20 May, 04:05
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    The value of x^3 + 1/x^3 is 47/x + 1/x^3 - 1/x^5

    Step-by-step explanation:

    x^4 + 1/x^4 = 47

    x^4 = 47 - 1/x^4

    x^3 + 1/x^3 = 1/x (x^4 + 1/x^2)

    x^4 = 47 - 1/x^4

    x^3 + 1/x^3 = 1/x (47 - 1/x^4 + 1/x^2) = 47/x - 1/x^5 + 1/x^3 = 47/x + 1/x^3 - 1/x^5
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