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Let alpha,beta , and gamma be three distinct real roots of the equation x(3x+2)^(2) + 2 =(a+12 + 9x)x^(2)-bx+c where, a,b,c in R. If every solution fo the inequality(x-2)^(2)(4x+b)(x-c) lt 0 is also solution of the inequility 3x^(2) + px +p^(2) + 6p lt 0 , then find number of integral values of 'p' |
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