Question

solve the question
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Answer 1

Answer: 7

Step-by-step explanation:

$x + \frac{1}{x} = 3$

=> $(x + \frac{1}{x} )^2 = 3^2 = 9$

=> $x^2 + 2*x*\frac{1}{x} + (\frac{1}{x} )^2 = 9$

=> $x^2 + (\frac{1}{x}) ^2 = 9 - 2 = 7$

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Answer 2

Given :

• x + 1/x = 3

To Find :

• x² + 1/x²

Solution :

➨ x + 1/x = 3

On squaring both side

➨ ( x + 1/x )² = ( 3 )²

➨ x² + 2 * x * 1/x + ( 1/x )² = 9

➨ x² + 2 + 1/x² = 9

➨ x² + 1/x² = 9 - 2

➨ x² + 1/x² = 7