Question-209304

Question Number 209304 by RoseAli last updated on 06/Jul/24

Answered by A5T last updated on 06/Jul/24

a^{x} + b^{x} = 62

a + b = 8; a b = 1

a^{2} + b^{2} = {(a + b)}^{2} - 2 a b = 64 - 2 = 62

\Rightarrow x = 2

Commented by RoseAli last updated on 06/Jul/24

Thanks

Commented by Frix last updated on 06/Jul/24

{(4 + \sqrt{15})}^{- 1} = 4 - \sqrt{15} \Rightarrow x = \pm 2

Facebook Tweet Pin