Question

if X ^2 + 1 / x ^2 = 47 find the value of x -1/x​

Answer 1

x² + 1/x² = 47

Now, (x - 1/x)² = x² + 1/x² - 2(x)(1/x)

(x - 1/x)² = x² + 1/x² - 2

(x - 1/x)² = 47 - 2

(x - 1/x)² = 45

Hence, (x - 1/x) = √45 = 3√5 ____(Ans.)

And, (x + 1/x) = 7

Hope it helps.

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