Question

If x²+1/x²=3 then find x+1/x​

Answer 1

Answer:

$x + \frac{1}{x} = \sqrt{5}$

Step-by-step explanation:

${x}^{2} + \frac{1}{{x}^{2} } = 3 \\ ( {x + \frac{1}{x} })^{2} = {x}^{2} + \frac{1}{ {x}^{2} } + 2.x. \frac{1}{x} \\ = 3 + 2 \\ = 5 \\ = > x + \frac{1}{x} = \sqrt{5}$

Answer 2

YOUR QUESTION : If x²+1/x²=3 then find x+1/x

YOUR EXPLANATION: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.

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