Question

solve using sutable identity

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Answer 1

$5. Given \: x + \frac{1}{x} = 3 \: ---(1)$

/* On squaring both sides of the equation , we get */

$\implies \Big(x + \frac{1}{x}\Big)^{2} = 3^{2}$

$\implies x^{2} + \frac{1}{x^{2}} + 2 \times x \times \frac{1}{x} = 9$

$\implies x^{2} + \frac{1}{x^{2}} + 2 = 9$

$\implies x^{2} + \frac{1}{x^{2}} = 9 -2$

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

Therefore.,

$\red{Value \:of \: x^{2} + \frac{1}{x^{2}} }\green { = 7}$

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