X2 - -2 - 1x - -2 - 0

x ^ 2 (√( 2 ) +1)x+√( 2 ) =0 x ^ 2 √( 2 ) x x+√( 2 ) =0 (x √( 2 ) )(x 1)=0 ∴ x=1, √( 2 ) ...

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Quadratic Formula

x2 - √2 + 1x ...

Question

$x^{2} - (\sqrt{2} + 1) x + \sqrt{2} = 0$

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Solution

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x^{2} - (\sqrt{2} + 1) x + \sqrt{2} = 0

x^{2} - (\sqrt{2} + 1) x + \sqrt{2} = 0

s i n^{- 1} \sqrt{x^{2} + 2 x + 1} + s e c^{- 1} \sqrt{x^{2} + 2 x + 1} = \frac{π}{2}, x \neq 0

2 s e c^{- 1} \frac{x}{2} + s i n^{- 1} \frac{x}{2} =

0 \leq x \leq \frac{1}{2}

t a n [s i n^{- 1} {\frac{x}{\sqrt{2}} + \frac{\sqrt{1 - x^{2}}}{\sqrt{2}}} - s i n^{- 1} x]

\frac{(x^{2} - 1) (x + 2)}{(1 - x)} \geq 0

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