Question

If x^2+1/x^2=3,find the value of x+1/x. ​

Answer 1

Answer:

Step-by-step explanation:

x^2 + 1/x^2 = 3

Adding 2 on both sides,

x^2 + 2 + 1/x^2 = 5

x^2 + 2(x)(1/x) + 1/x^2 = 5

(x)^2 + 2(x)(1/x) + (1/x)^2 = 5

(x + 1/x)^2 = 5

x + 1/x = $\sqrt{5}$ or  $-\sqrt{5}$

Hope it is useful...

Answer 2

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