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If (x^2+a x+3)/(x^2+x+a) takes all real ...

If `(x^2+a x+3)/(x^2+x+a)` takes all real values for possible real values of `x ,` then a.`a^3-9a+12<=0` b. `4a^5+39 >=0` c. `ageq1/4` d. `a<1/4`

A

`a^(3)-9a+12 le 0`

B

`4a^(3)+39 lt 0`

C

`a^3 -9a lt 1//4`

D

`a ge 1//4`

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The correct Answer is:
B, C
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