Question

If x+ 1/x=3 , find x square +1/x square i want answer fast plss, plss...

Answer 1

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Answer:

x²+1/x² = 11

Given

x-1/x = 3---(1)

On Squaring equation (1), we get

=> (x-1/x)² = 3²

=> x²+1/x²-2*x*(1/x) = 9

/* By algebraic identity :

(a-b)² = a²+b²-2ab */

=> x²+1/x² - 2 = 9

=> x² + 1/x² = 9 +2

=> x² + 1/x² = 11

Therefore,

x²+1/x² = 11

Answer 2

Given data,

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

To calculate,

${x}^{2} + \frac{1}{ {x}^{2} } = ?$

Calculations,

$given \: that \\ x + \frac{1}{x} = 3 \\ on \: squaring \\ {(x + \frac{1}{x} })^{2} = {3}^{2} \\ {x}^{2} + 2x \times \frac{1}{x} + \frac{1}{ {x}^{2} } = 9 \\ {x}^{2} + 2 + \frac{1}{ {x}^{2} } = 9 \\ {x}^{2} + \frac{1}{ {x}^{2} } = 9 - 2 \\ {x}^{2} + \frac{1}{ {x}^{2} } = 7$

Final Answer,

${x}^{2} + \frac{1}{ {x}^{2} } = 7$

hope it helps to you☺️