If x+1x=3, then find the value of x2+1x2 is

Given, x+1x=3.As we know , a+b2=a2+2ab+b2Since, x+1x=3Squaring both sides, we get x+1x2=32x2+1x2+2=9 x2+1x2=7.Therefore, option 3) is correct.

Given, x+1x=3.As we know , a+b2=a2+2ab+b2Since, x+1x=3Squaring both sides, we get x+1x2=32x2+1x2+2=9 x2+1x2=7.Therefore, option 3) is correct.

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If $x + \frac{1}{x} = 3,$ then find the value of $x^{2} + \frac{1}{x^{2}}$ is

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answer is C.

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Given,

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

.
As we know ,

{(a + b)}^{2} = a^{2} + 2 ab + b^{2}

Since,

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

Squaring both sides, we get

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

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

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

.
Therefore, option 3) is correct.

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