1.

If x^2+1/x^2= 7, find the value of x+1/x​

Answer»

Step-by-step EXPLANATION:

(x + \frac{1}{x} ) {}^{2}

= {x }^{2} + ( { \frac{1}{ x} )}^{2} + 2

But, it is GIVEN that

( {x}^{2} + ( \frac{1}{x} ) {}^{2} ) = 27

it BECOMES

27+2= 29

(x + \frac{1}{x} ) {}^{2} = 29 \\ (x + \frac{1}{x} ) = \sqrt{29} \\ = 5.38


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