If d-1/d=6,then d^4+1/d^4=? – InterviewSolution

1.

If d-1/d=6,then d^4+1/d^4=?

Answer»

$d - \frac{1}{d} = 6$

SQUARING on both SIDES

${d}^{2} + \frac{1}{ {d}^{2} } - 2 = 36$

${d}^{2} + \frac{1}{ {d}^{2} } = 38$

Squaring on both sides

${d}^{4} + \frac{1}{ {d}^{4} } + 2 = 1444$

${d}^{4} + \frac{1}{ {d}^{4} } = 1442$

Your answer is 1442.

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