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x ki power 4 + 1 upon x ki power 4 is equals to 194 find the value of x cube + 1 upon x cube or X square + 1 upon x square upon X + 1 upon x |
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Answer» x⁴ + 1 / x⁴ = 194 ---( 1 ) ( x² + 1 / x² )² - 2 = 194 ( x² + 1 / x² )² = 194+2 x² + 1 /x² = √196 x² + 1 /x² = 14 -----( 2 ) ( x + 1 / x )² - 2 = 14 ( x + 1 / x )² = 14 +2 ( x + 1/x ) =√16 Therefore, x³ + 1 / x³ = ( x + 1 /x )(x² + 1/x² - 1 ) =4 × ( 14 - 1 ) [ From ( 2 ) and ( 3 ) = 4 × 13 = 52
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