Question

if x^2 + 1/x^2 = 15 find x - 1/x​

Answer 1

Answer:

$\sqrt{17}$

Step-by-step explanation:

we know that x² + 1/x² =15

let us take the whole square of x + 1/x

(x +1/x)² = x² + 1/x² + [2 (x) (1/x)]

{identity used- (a+b)² = a² + b² +2ab}

(x +1/x)² = 15 +2

(x +1/x)² =17

x + 1/x =

$\sqrt{17}$

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