Question

If x=(2+√5)1/2+(2-√5)1/2&(2+√5)1/2-(2-√5)1/2 then evaluate x²+y². Do it in a simple way so That I can easily understand it..

Answer 1

X
$x = (2 + \sqrt{5}) \times \frac{1}{2} + (2 - \sqrt{5} ) \frac{1}{2} \\ \: \: \: = \frac{2}{2} + \frac{ \sqrt{5} }{2} + \frac{2}{2} - \frac{ \sqrt{5} }{2} \\ \: \: \: \: \: \: \ = 2 \\similarly \: for \: y \: we \: have \: \\ y \: = \sqrt{5} \\ then \: x^{2} + {y}^{2} = 9 \\ i \: hope \: this \: will \: be \: helpful \: to \: you \: thank \: you \:$
thank you

Answer 2

Here is your answer in the attachment.

Hope it helps you.
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