Math, asked by jaykapale, 1 month ago

if [x+1/x]=12, find the value of [x²+1/x²]​

Answers

Answered by amansharma264
4

EXPLANATION.

⇒ (x + 1/x) = 12.

As we know that,

Squaring on both sides of the equation, we get.

⇒ (x + 1/x)² = (12)².

⇒ (x)² + (1/x)² + 2(x)(1/x) = 144.

⇒ x² + 1/x² + 2 = 144.

⇒ x² + 1/x² = 144 - 2.

⇒ x² + 1/x² = 142.

Answered by jaswasri2006
5

x² + (1/x)² = 142

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Explanation :

x + (1/x) = 12 ____(Given in Question)

so , Squaring on both sides

⇒ [x + (1/x)]² = (12)²

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by using ,

(x + y)² = x² + y² + 2xy

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so ,

⇒ x² + (1/x)² + 2x(1/x) = 144

⇒ x² + (1/x)² = 144 - 2 = 142

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Final Answer :

x² + (1/x)² = 142

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