Latest Miscellaneous Company Exam Aptitude Question SOLUTION: If x+1/x=5 then findout the value of x^5+1/x^5=?

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(#M40034500) MISCELLANEOUS COMPAN Numerical Ability question Keep an EYE

If x+1/x=5 then findout the value of x^5+1/x^5=?

Asked In Miscellaneous Company Exam moumitabhakat (10 years ago)

Solved RAKESH Read Solution (1)

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RAKESH  (10 years ago)

given,(x+ 1/x) = 5

x^2 + 1/x^2 = (x+ 1/x)^2 - 2*x*1/x = 5^2 - 2 = 23 -------(1)

x^3 + 1/x^3 = (x+ 1/x)^3 - 3*x*1/x*(x+ 1/x) = 5^3 - 3*5 = 110 -------(2)

multiplying (1)& (2), we get

=>(x^2+ 1/x^2)*(x^3+ 1/x^3) = 23*110
=> x^5 + 1/x + x + 1/x^5 = 2530
=> x^5 + 1/x^5 + (x+ 1/x)= 2530
=> x^5 + 1/x^5 + 5 = 2530
=> (x^5+ 1/x^5)= 2525

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