If 2 and i are two roots of the equation 2z4+az3+bz2+cz+3=0 wherea,b,c,∈R then the value of −2a11 is _______

α,2,i,−i are the roots Product of roots =32α=34Now−a2=α+2+i−i⇒a=−112

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If 2 and i are two roots of the equation $2 z^{4} + a z^{3} + b z^{2} + c z + 3 = 0$ where
$a, b, c, \in R$ then the value of $\frac{- 2 a}{11}$ is _______

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$α, 2, i, - i$ are the roots
Product of roots $= \frac{3}{2}$

$α = \frac{3}{4}$

$N o w \frac{- a}{2} = α + 2 + i - i \Rightarrow a = \frac{- 11}{2}$

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