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If a,b,c,and d are the real roots of the...

If a,b,c,and d are the real roots of the equation`x^4+P_0x^3+P_1x^2+P_3x+P_4=0` and `(1+a^2) (1 + b^2) (1 + c^2) (1 +d^2) =k(1-P_2+P_4)^2, + (P_3-P_1)^2` then the value of k is

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