Question

x-1/x=4 then (x+1/x) is equal to​

Answer 1

(x+1/x)²= x²+1/x²+2

=x²+1/x²-2+4

=(x-1/x)² +4

=4²+4=20

x+1/x=√20=2√5

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Answer 2

Given,

x-1/x = 4

To find,

x+1/x

(x-1/x)² = (x²) + (1/x²) - 2

(4)²+2 = (x²) + (1/x²)

16+2 = (x²) + (1/x²)

18 = (x²) + (1/x²)......equation(1)

(x+1/x)² = (x²) + (1/x²) + 2

(x+1/x)² = 18+2

(x+1/x)² = 20

(x+1/x) =

$\sqrt{20}$

Therefore,

(x+1/x) =

$2 \sqrt{5}$

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