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Expansion of (x+y)^2

If x∧ 2+1 / x...

Question

If x^2+1/x^2=7, then value of x+1/x is

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Solution

(x + 1/x)^2 = x^2 + 1/x^2 + 2
x^2+1/x^2=7,

(x + 1/x)^2 = 9

x + 1/x = 3

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Similar questions

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

, then the values of

x + \frac{1}{x}

x + \frac{1}{x} = - 2

, then the value of

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

x - \frac{1}{x} = 7

then find the value of

x^{2} + \frac{1}{x^{2}} .

If X^2+1/X^2=7, then find the value of X^3-1/X^3

∣ ∣ ∣ ∣ ∣ \begin{matrix} x^{2} + x & 3 x - 1 & - x + 3 2 x + 1 & 2 + x^{2} & x^{3} - 3 x - 3 & x^{2} + 4 & 3 x \end{matrix} ∣ ∣ ∣ ∣ ∣ = a_{0} + a_{1} x + a_{2} x^{2} + . . . + a_{7} x^{7}

, then the value of

a_{0}

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