Math, asked by jinu7, 1 year ago

if
$x = \frac{ \sqrt{5} + 1}{ \sqrt{5} - 1 }$
and
$y = \frac{ \sqrt{5} - 1 }{ \sqrt{5} + 1}$
find the value of
${x}^{2} + {y}^{2}$

Answers

Answered by physrito

this is your answer...

pardon me as I did it over an amazon invoice.

Attachments:

jinu7: I thik 1st we have to rationalise it and then use the id.

jinu7: a^2+b^2=(a+b)(a-b)

physrito: no

physrito: a^2 - b^2 = (a+b)(a-b)

physrito: a^2 + b^2 is never equal to (a+b)(a-b)

physrito: (a+b)(a-b) = a(a-b) + b(a-b) = a^2 - ab + ab -b^2 = a^2 - b^2

jinu7: ok

jinu7: :) thankyou

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