InterviewSolution
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InterviewSolution
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यदि `x=3+2sqrt(2)` है तो `(x^(6)+x^(4)+x^(2)+1)/(x^(3))` किसके बराबर है?A. 216B. 192C. 198D. 204 |
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Answer» Correct Answer - D `x=3+2sqrt(2)` `:. x=3-2sqrt(2)` `x+1/x=3+2sqrt(2)+3-2sqrt(2)` `x+1/x=6` `(x+1/x)^(3)=(6)^(3)` `x^(3)+1/(x^(3))+3xx6=216` `x^(3)+1/(x^(3))+216-18=198` `:. (x^(6)+x^(4)+x^(2)+1)/(x^(3))` `=x^(3)+x+1/x+1/(x^(3))` `= x^(3)+1/(x^(3))+x+1/x` `=198+6=204` |
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