1.

यदि `x=3+sqrt(8)` है तो `x^(2)+1/(x^(2))` किसके बराबर है?A. 38B. 36C. 34D. 30

Answer» Correct Answer - C
`x=3+sqrt(8)`
`1/x=1/(3+sqrt(8))`
`=1/x=1/(3+sqrt(8))xx(3-sqrt(8))/(3-sqrt(8))`
`=(3-sqrt(8))/(9-8)=3-sqrt(8)`
`x+1/x=3+sqrt(8)+3-sqrt(8)=6`
`x+1/x=6`
squaring both sides
`x^(2)+1/(x^(2))+2=36`
`x^(2)+1/(x^(2))=34`


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