Question

x^2+1/x^2=3 find x+1/x​

Answer 1

Answer:

the value is √5

Step-by-step explanation:

by squaring the X + 1/X we have

(x + 1/X )² = x² + 1/x² + 2

also x² + 1/x² = 3

hence

X + 1/ X = √5

Answer 2

Answer:

±√5

Step-by-step explanation:

x²+1/x²=3

x²+1/x²+2=3+2

x²+1/x²+2.x.1/x = 5

(x+1/x)²=5                                       [a²+b²+2ab=(a+b)²]

∴x+1/x=±√5