I X+ 1/X = 5 then show that x^2+ 1/x^2 =23

Explanation :

⇒ (x + 1/x) = 5.

As we know that,

Squaring on both sides of the equation, we get.

⇒ (x + 1/x)² = (5)².

As we know that,

☢︎︎Formula of:

⇒ (a + b)² = a² + b² + 2ab.

Using this formula in the equation, we get.

⇒ (x)² + (1/x)² + 2(x)(1/x) = (5)².

⇒x²+1/x² + 2 = 25.

⇒ x² +1/x²= 25 - 2.

⇒ x² +1/x² = 23.

Hence Proved.✅

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step-by-step explanation: