If the average of x and 1 x is 1 find the value of 8x 10 4 x 5 ........

Quantitative Aptitude (CDS) Algebra

If the average of x and 1/x is 1, find the value of 8x^10 +4/x^5

8192.125

1024

8000

8190

(x+4/x)/2 =2
x+ 4/x =4
x^2 +4 =4x
x^2 -4x+4=0
(x-2)^2 =0
x=2
putting x value
8x^10 +4/x^5
=8(2)^10 + 4/2^5
=8(1024)+1/8
=2^16 +1 /8
=8192.125

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