Question

If x²+1/x²=27find the value of x+1/x

Answer 1

Heya!!

let x + 1/x = z

Squaring on both sides we have.

( x + 1/x )² = z²

x² + 1/x² + 2x(1/x) = z²

z² = x² + 1/x² + 2

z² = 27 + 2

z² = 29

z = ±√(29)

So, x + 1/x = ±√(29)

Answer 2

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