Question

15
28. (x + 1/x) = 6 the value of ( x5 + 1/x5 ) = ?
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Answer 1

Subhnam Gill

Rohit Sharma

Chateswar Pujara

Ajinkya Rahane

Rishab Pant

Answer 2

Hii @deamon92 ,

Answer:

( x⁵ + 1/x⁵ )

= 7776 - 5x³ - 10x - 10/x - 5/x³

Step-by-step explanation:

( x + 1/x ) = 6

as,

( a + b )⁵

= a⁵ + 5 a⁴ b + 10 a³ b² + 10 a² b³ + 5 a b⁴ + b

therefore,

taking 5 times in both the sides,

( x + 1/x )⁵ = 6⁵

=> x⁵ + 5 x⁴/x + 10 x³/x² + 10 x²/x³ + 5x/x⁴ + 1/x⁵ = 7776

=> x⁵ + 5x³ + 10x + 10/x + 5/x³ + 1/x⁵ = 7776

therefore,

=> x⁵ + 1/x⁵ = 7776 - ( 5x³ + 10x + 10/x + 5/x³)

=> x⁵ + 1/x⁵ = 7776 - 5x³ - 10x - 10/x - 5/x³

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