Question

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$2 \sqrt{2 - \times - \sqrt{7 - \times = 1} }$
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Answer 1

$2 \sqrt{2 - x - \sqrt{7 - x } } = 1 \\ 2 - x - \sqrt{7 - x} = \frac{1}{4 } \\ \sqrt{7 - x} = \frac{7}{4} - x \\ 7 - x = \frac{49}{16} - \frac{7}{2} x + {x}^{2} \\ {x}^{2} - \frac{5}{2}x - 7 = 0 \\ d = 6 .25 + 28 = 34.25 > 0 \\ x_1 = \frac{ \frac{5}{2} + \sqrt{34.25} }{2} \\ x_2 = \frac{ \frac{5}{2} - \sqrt{34.25} }{2}$

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