1.

यदि `x+9/x=6` है तो `(x^(2)+9/(x^(2)))` का मान ज्ञात करें?A. 8B. 9C. 10D. 12

Answer» Correct Answer - C
`x+9/x=6`
Take values of `x`
Let `x=3`
`3+9/3=6` (Proved)
So `x=3`
`:. x^(3)+9/(x^(2))=9+9/9=10`
Alternate:
`x+9/x=6`
On squaring
`(x=9/x)^(2)=36`
`x^(2)+81/(x^(2))+2xx9/x xx x=36`
`x^(2)+81/(x^(2))-18=0`
`(x-9/x)^(2)=0`
`x=9/x`
`x^(2)=9`
Hence `x^(2)+9/(x^(2))=9+9/9=10`


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