InterviewSolution
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InterviewSolution
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यदि `2x+2/x=3` है तो `x^(3)+1/(x^(3))+2` का मान ज्ञात करें।A. `-9/8`B. `-25/8`C. `7/8`D. `11` |
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Answer» Correct Answer - C `2x+2/x=3` `implies x+1/x=3/2` Taking cube on the sides `=(x+1/x)^(3)=(3/2)^(3)` `{:|((x+1/x=a),(x^(3)+1/(x^(3))=a^(3)-3a)):}` `x^(3)+1/(x^(3))+3(x+1/x)=27/8` `implies x^(3)+1/(x^(3))+3xx3/2=27/8` `implies x^(3)+1/(x^(3))=27/8-9/2` `=(27-36)/8=(-9)/8` `:. x^(3)+1/(x^(3))+2=(-9)/8+2` `=x^(3)+1/(x^(3))+2=(-9+16)/8=7/8` |
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