Question

If [x+1/x]=5, then the value of [x4+1/x4] is a. 525 b. 527 c. 529 d. none of these

Answer 1

Answer:

527

Step-by-step explanation:

$x + \frac{1 }{x} = 5 \\ on \: squaring \: both \: sides \\ x ^{2} + \frac{1}{x { }^{2} } + 2(x)( \frac{1}{x} ) = 5 ^{2} \\ \\ x \: will \: be \: cancelled \: from \\ 2x( \frac{1}{x} ) \: \: and \: 2 \: will \: go \: in \: rhs \: as - 2 \\ \\ x {}^{2} + \frac{1}{x {}^{2} } = 23 \\ \\ again \: follow \: same \: steps \: \\ first \: square \: both \: sides \\ \\ x {}^{4} + \frac{1}{x {}^{4} } + 2(x {}^{2} )( \frac{1}{x {}^{2} } ) = 23 { }^{2} \\ \\ so \: answer \: is \: 23 {}^{2} - 2 = 527$

Answer 2

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QUESTION : If [x+1/x]=5, then the value of [x4+1/x4] is a. 525 b. 527 c. 529 d. none of these

ANSWER : 527 (Answer b)

Step - by - step explanation in image

Note : There are two images