Question

answer with equation

Answer 1

Heya !!!


here is your answer !!!

look this attachment :-


hope it helps you dear !!

thanks !!!



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Answer 2

HELLO DEAR,


GIVEN THAT:-

X = (3 + 2√2)
∴ [ on squaring both side ]


we get,


X² = (3 + 2√2)²


⇒x² = 9 + 8 + 12√2

⇒x² = (17 + 12√2)--------(1)

Now,


1/x² = 1/(17 + 12√2)


1/x² = (17 - 12√2) / [(17 +12√2)(17 - 12√2)]
∴[ multiply by {17 - 12√2) both num.and denominator]


NOW,


⇒1/x² = (17 - 12√3)/(289 - 288)

⇒1/x² = 17 - 12√2---------(2)

∴ adding---(1) & ----(2)


we get,


x² + 1/x² = 17 + 12√2 + 17 - 12√2

⇒(x² + 1/x²) = 34


I HOPE ITS HELP YOU DEAR,
THANKS