1.

यदि `x+1/(4x)=3/2` है तो `8x^(3)+1/(8x^(3))` का मान ज्ञात करें।A. 18B. 36C. 24D. 16

Answer» Correct Answer - A
`x+1/(4x)=3/2`
Multiply by 2 both sides
`:. 2x+1/(2x)=3`
Take cube both sides
`=(2x+1/(2x))^(3)=(3)^(3)`
`=8x^(3)+1/(8x^(3))+3xx 2x xx 1/(2x) (2x+1/(2x))`
`=27`
`=8x^(3)+1/(8x^(3))+3xx3=27`
`8x^(3)+1/(8x^(3))=27-9=18`


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