Math, asked by vismayavichuzzz, 5 hours ago

if x = 3 + root 8 find the value of x raised to 2 + 1 by x raised to 2​

Answers

Answered by gk5062943
1

Answer:

Given, x = 3+√8

To find :- value of (x²+¹)/x²

= x³/x² = x

Therefore,

(x²+¹)/x² = 3 +√8

Step-by-step explanation:

Hope it helps!!!

Answered by krimipatel6126st
1

x = 3 +  \sqrt{8}  \\ x = (3 +  \sqrt{8} )(3 -  \sqrt{8} )  (3 -  \sqrt{8} ) \\ x = (9 - 8)(3 -  \sqrt{8} ) \\ x = 1(3 -  \sqrt{8} ) \\ or \: we \: can \: write \\ x = (3 -  \sqrt{8} ) \\ put \: the \: value \: and \: find \: out \\ x {}^{2}  + (x {}^{2} ) = x {}^{2}  + (x {}^{2} ) \\ so \:  \: x {}^{2}   + 1x {}^{2}  = (3 +  \sqrt{8} ) {}^{2}  + (3 -  \sqrt{8} ) {}^{2}  \\  = 9 + 6 \sqrt{8}  + 8 + 9 - 6 \sqrt{8}  - 8 \\  = 34 \:  \: ans

= 34 ANS

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