# Look at the constant term

Algebra Level 5

If the roots of the polynomial equation $\large {4x^{4}+6x^{3}+2x^{2}+2003x-4012009\,=\,0}$ are of the form $\dfrac{-a \pm \sqrt{b}}{c} \,\,\,\, , \,\,\,\, \dfrac{-a \pm i \cdot 7 \sqrt{(a+c) \cdot d}}{c^{2}}$, where $$b$$, $$c$$ and $$d$$ are primes. Find $$\color{blue}{a+b+c+d}$$.

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