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If set of values `a` for which `f(x)=a x^2-(3+2a)x+6, a!=0` is positive for exactly three distinct negative integral values of `x` is `(c , d]` , then the value of `(c^2 + 4|d|)` is equal to ________.

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  20. The equation (x/(x+1))^2+(x/(x-1))^2=a(a-1) has a. Four real roots ...

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