Campus Maths Puzzle Numerical Ability Algebra

If x+i/x=5 then x^5+i/x^5=?

Read Solution (Total 1)

Answer=1025

(x+i)/x=5, so x=i/4

now (x^5+i)/x^5
=1+i/x^5
=1+i/(i/4)^5
=1+(i*4^5)/i^5
=1+4^5/i^4
=1+4^5 [as i=root(-1)=(-1)^0.5 , so i^2=-1 and i^4=(i^2)^2=(-1)^2=1]
=1+1024
=1025
10 years agoHelpfull: Yes(0) No(1)

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