Question

if ( x+1/x)2 = 51 then find x .
must be full explanation. I'll mark it as brainliest if the answer will be helpful.

Answer 1

(x +1/x )²=51

x+1/x=√51


x²+1/x=√51

x²+1=√51x

x²-√51x+1=0


x = √51± √51-4(1)/2

=√51±√47/2
therefore x=√51+√47/2 or √51-√47/2

hope helped !