Question

x^2+1/x^2=51find x please answer​

Answer 1

Answer:

x²+1/x²=51

x²+1/x²-2=51-2

x²+1/x²-2*x*1/x=49=7²

(x-1/x) ²=7²

x-1/x=7

x²-7x-1=0

x=7±(√(49+4*1*1) /2=7±√53) /2

x=7+√53 /2 , 7-√53 /2