if x is equal to 3 + 2 root 2 find X square + 1 / x square
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if x is equal to 3 + 2 root 2 find X square + 1 / x square
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Answer: 34
Step-by-step explanation:
x=3+2√2
1/x=1/(3+2√2), on rationalization
1/x=1/(3+2√2) × (3-2√2)/(3-2√2)
1/x= (3-2√2)/[3^2- (2√2)^2]
= (3-2√2)/(9-8) = 3-2√3
x+1/x= 3-2√2+3-2√2=6
Using, x^2+1/x)^2= (x+1/x)^2 -2=
= (6)^2-2= 36-2=34