If x=4+root15 , find xcube -1/xcube
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Answer:
x = 4 + √ 15
1 / x = 1/ ( 4 + √ 15) * (4 - √ 15) / ( 4 - √ 15) = 4 - √ 15
x + 1 / x = 4 + √ 15 + 4 - √ 15 = 8
x2 + 1 / x2 = ( x + 1 / x)2 - 2
x2 + 1 / x2 = 82 - 2 = 64 - 2 = 62
Ans: 62
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