Question

If x+ 1/x= 2. find the value of x2+ 1/x2

Answer 1

Answer:

2

Step-by-step explanation:

x+ 1/x                          = 2

(x+ 1/x)^2                    = 2^2

(x^2)+2(x)(1/x)+(1/x)^2 = 4

(x^2)+(1/x)^2 + 2         = 4

(x^2)+(1/x)^2                = 2

Answer 2

Answer:

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

Step-by-step explanation:

$x+\frac{1}{x}=2\\(x+\frac{1}{x})^{2}=(2)^{2}\\x^{2}+\frac{1}{x^{2}}+2*x*\frac{1}{x}=4\\x^{2}+\frac{1}{x^{2}}+2=4\\x^{2}+\frac{1}{x^{2}}=4-2\\x^{2}+\frac{1}{x^{2}}=2$

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