The possible values of ' $b$ ', $b \in R$ for which the equations $2017x^{2} + bx + 7102 = 0$ and $7

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The possible values of ' $b$ ', $b \in R$ for which the equations $2017x^{2} + bx + 7102 = 0$ and $7102x^{2} + bx + 2017 = 0$ have a common root is/are

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Let $\alpha$ be the common root$$\begin{matrix} \Rightarrow & 2017\alpha^{2} + b\alpha + 7102 & & = 0 \ 	ext{~and~} & 7102\alpha^{2} + b\alpha + 2017 & & = 0 \ 	ext{~Subtracting,~} & 5085\alpha^{2} - 5085 & & = 0 \ \Rightarrow & & \alpha & = \pm 1 \end{matrix}$$Put $\alpha = \pm 1,b = \pm 9119$

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