Question

x+1/x=5,
x^2 + 1/x^2=?

Answer 1

Answer:

x² + 1 / x² = 23

Step-by-step explanation:

x + 1/x = 5

On squaring both sides :-

(x + 1/x)² = (5)²

⇒ x² + 1 / x² + 2 * x * 1/x = 25

⇒ x² + 1 / x² + 2 = 25

⇒ x² + 1 / x² = 25 - 2

⇒ x² + 1 / x² = 23

Hence, the value of x² + 1 / x² = 23.

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The identity used while solving this question ;

( a + b )² = a² + 2ab + b²