Question

If x²+1/x²=3, find the value of x+1/x.​

Answer 1

Answer:

X + 1/x = 3…(i)

We know , (X+1/x)^2 = x^2 + (1/x)^2 + 2(x * 1/x)

=> (X+1/x)^2 = x^2 + (1/x)^2 + 2

Substituting value from (i) (3)^2 = x^2+(1/x)^2+2

= 9–2 = x^2+(1/x)^2

Ans. X^2 + (1/x)^2 = 7

Answer 2

Answer:

answer is root 5

Step-by-step explanation:

(x+1/x)^2-2x*1/x=3

(x+1/x)^2-2=3

(x+1/x)^2=3+2

(x+1/x)^2=5

x+1/x=root 5