Question

x²+1/x²=27 now find the value of x+1/x=?

Answer 1

${x }^{2} + \frac{1}{ {x}^{2 } } = 27$
Using the formula (a^2+b^2)=(a+b)^2-2ab we get,
=>(x + 1 / x)^2 - 2 × x × 1 / x = 27
=>(x + 1 / x)^2 = 29
=>(x + 1 / x) = √29
So the answer is √ 29 or 5.385.

Hope it helped.