Question

If x=1-√2,
Find value of x^2+1/x^2
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Answer 1

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Answer 2

Answer: -2√2

Step-by-step explanation:

Given: x = 1-√2

$\frac{1}{x}$ = $\frac{1}{1-\sqrt{2} }$

Multiply and divide by (1 + √2)

$\frac{1}{x}$ = $\frac{1}{1-\sqrt{2} }$ × $\frac{1+\sqrt{2} }{1+\sqrt{2} }$

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

$\frac{1}{x}$ = -1-√2

∴ x + $\frac{1}{x}$ = (1-√2)+(-1-√2)

                                       = -2√2

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