Latest byju Aptitude Question SOLUTION: If x+1/X is equal to 5 then w hat is x5+/x5

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(#M40152079) BYJU Category question Keep an EYE

If x+1/X is equal to 5 then w hat is x5+/x5

Asked In byju jyothi (8 years ago)

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Nimish chandna  (5 years ago)

x+1/x=5 ----- 1.
(x)^5 + (1/x)^5 = ?

Squaring both sides in 1.
(x)^2 + (1/x)^2 = 23 ----2.

Again, Cubing both sides in 1.
(X)^3 + (1/x)^3 = 110 -----3.

Now, Multiply 2 and 3
(x)^5 + (x+1/x) + (1/x)^5 = 2530
(x)^5 + (1/x)^5 = 2525 (on taking value from 1.)

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