Question

2. If x=3+2.√2. then find the value of x2+1/x2.​

Answer 1

here your answer

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Answer 2

Answer:

34

Step-by-step explanation:

x = 3+2$\sqrt{2}$

So, $x^{2}$ = $(3+2 \sqrt{2} )^{2}$

or, x^2 =  9 + 2 X 3 X  2$\sqrt{2}$ + 4 X 2

or, x^2 = 17 + 12$\sqrt{2}$

Now, x^2 + 1/x^2

    = (17 + 12$\sqrt{2}$ ) + (17 - 12$\sqrt{2}$)

    = 17+ 12$\sqrt{2}$ + 17 - 12$\sqrt{2}$

     = 34