1.

यदि `3x+1/(2x)=5` है तो `8x^(3)+1/(27x^(3))` का मान ज्ञात करें।A. `118 1/2`B. `30 10/27`C. `0`D. `1`

Answer» Correct Answer - B
`3+1/(2x)=5`
`implies` Multiply both sides by `2/3`
`:. 3x xx 2/3+1/2x xx 2/3=5xx 2/3`
`2x+1/(3x)=10/3`
`:.` Taking cube on the both sides
`8x^(3)+1/(27x^(3))+3xx 2x xx 1/(3x)`
`(2x+1/(3x))=(10/3)^(3)`
`8x^(3)+1/(27x^(3))+2xx10/3=1000/27`
`8x^(3)+1/(27x^(3))=1000/27-20/3`
`=(1000/180)/27=820/27=30 10/27`


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