If x2
– 5x + 1 = 0, then

(x^10+1)/x^5
has the value​

1 thought on “If x2<br /> – 5x + 1 = 0, then <br /><br />(x^10+1)/x^5<br /> has the value​”

1. x

   2

   −5x+1=0

   ∴x

   2

   +1=5x

   ∴x+

   x

   1

   =5

   ∴x

   2

   +

   x

   2

   1

   =25−2=23

   ∴x

   3

   +

   x

   3

   1

   =(x+

   x

   1

   )

   3

   −3(x+

   x

   1

   )

   ∴x

   3

   +

   x

   3

   1

   =125−15

   ∴x

   3

   +

   x

   3

   1

   =110

   Now (x

   3

   +

   x

   2

   1

   )(x

   3

   +

   x

   3

   1

   )=56×23

   ∴x

   5

   +x+

   x

   1

   +

   x

   5

   1

   =110×23

   ∴x

   5

   +

   x

   5

   1

   =2530−5

   ∴x

   5

   +

   x

   5

   1

   =2525.

   hope it will help you dear.

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