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The values of 'a' for which the equation...

The values of 'a' for which the equation `(x^2 + x + 2)^2 - ( a-3)( x^2+ x+2)(x^2 +x + 1) + (a-4)(x^2 + x + 1)^2 = 0` has atlesast one real root is:

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The correct Answer is:
`rArr 5 lt a le 19//3`
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