Find the values of 'a' for which the equation P \( \left(x^{2}+x+2\...

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Find the values of 'a' for which the equation
P \( \left(x^{2}+x+2\right)^{2}-(a-3)\left(x^{2}+x+2\right)\left(x^{2}+x+1\right)+(a-4)\left(x^{2}+x+1\right)^{2}=0 \) has atleast one real root.

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