InterviewSolution
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InterviewSolution
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If `a ,b ,c`are non-zero real numbers, then the minimum value of the expression`(((a^4 3a^2+1)(b^4+5b^2+1)(c^4+7c^2+1))/(a^2b^2c^2))`is not divisible by prime number. |
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Answer» Correct Answer - 315 We have `((a^(4)+3a^(2)+1)/a^(2))((b^(2)+5b^(2)+1)/(b^(2)))((c^(4)+7c^(2)+1)/(c^(2)))` `=(a^(2)+(1)/(a^(2))+3)(b^(2)+(1)/(b^(2))+5)(c^(2)+(1)/(c^(2))+7)` `=((a-(1)/(a))^(2)+5)((b-(1)/(b))^(2)+7)((c-(1)/(c))^(2)+9)` So, minimum value is `5xx7xx9=315`. |
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